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Finding the Third Proportional to 261,564.75 and 370,216.13

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Solution

The third proportional to 261,564.75 and 370,216.13 is: 524,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,564.75 : 370,216.13 = 370,216.13 : x
  2. Step 2: Convert to fraction form
    261,564.75/370,216.13 = 370,216.13/x
  3. Step 3: Cross multiply
    261,564.75x = 370,216.13 × 370,216.13
  4. Step 4: Simplify right side
    261,564.75x = 137,059,979,210.02
  5. Step 5: Solve for x
    x = 137,059,979,210.02/261,564.75
  6. Step 6: Final answer
    x = 524,000.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.