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Finding the Third Proportional to 242,437.50 and 514,428

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Solution

The third proportional to 242,437.50 and 514,428 is: 1,091,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,437.50 : 514,428 = 514,428 : x
  2. Step 2: Convert to fraction form
    242,437.50/514,428 = 514,428/x
  3. Step 3: Cross multiply
    242,437.50x = 514,428 × 514,428
  4. Step 4: Simplify right side
    242,437.50x = 264,636,167,184
  5. Step 5: Solve for x
    x = 264,636,167,184/242,437.50
  6. Step 6: Final answer
    x = 1,091,564.49

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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.