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Finding the Third Proportional to 250,935.75 and 514,102.50

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Solution

The third proportional to 250,935.75 and 514,102.50 is: 1,053,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,935.75 : 514,102.50 = 514,102.50 : x
  2. Step 2: Convert to fraction form
    250,935.75/514,102.50 = 514,102.50/x
  3. Step 3: Cross multiply
    250,935.75x = 514,102.50 × 514,102.50
  4. Step 4: Simplify right side
    250,935.75x = 264,301,380,506.25
  5. Step 5: Solve for x
    x = 264,301,380,506.25/250,935.75
  6. Step 6: Final answer
    x = 1,053,263.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.