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Finding the Third Proportional to 242,346.94 and 514,218.38

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Solution

The third proportional to 242,346.94 and 514,218.38 is: 1,091,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,346.94 : 514,218.38 = 514,218.38 : x
  2. Step 2: Convert to fraction form
    242,346.94/514,218.38 = 514,218.38/x
  3. Step 3: Cross multiply
    242,346.94x = 514,218.38 × 514,218.38
  4. Step 4: Simplify right side
    242,346.94x = 264,420,537,187.64
  5. Step 5: Solve for x
    x = 264,420,537,187.64/242,346.94
  6. Step 6: Final answer
    x = 1,091,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.