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Finding the Third Proportional to 202,584 and 314,464

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Solution

The third proportional to 202,584 and 314,464 is: 488,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,584 : 314,464 = 314,464 : x
  2. Step 2: Convert to fraction form
    202,584/314,464 = 314,464/x
  3. Step 3: Cross multiply
    202,584x = 314,464 × 314,464
  4. Step 4: Simplify right side
    202,584x = 98,887,607,296
  5. Step 5: Solve for x
    x = 98,887,607,296/202,584
  6. Step 6: Final answer
    x = 488,131.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.