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Finding the Third Proportional to 202,897 and 316,627

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Solution

The third proportional to 202,897 and 316,627 is: 494,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,897 : 316,627 = 316,627 : x
  2. Step 2: Convert to fraction form
    202,897/316,627 = 316,627/x
  3. Step 3: Cross multiply
    202,897x = 316,627 × 316,627
  4. Step 4: Simplify right side
    202,897x = 100,252,657,129
  5. Step 5: Solve for x
    x = 100,252,657,129/202,897
  6. Step 6: Final answer
    x = 494,106.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.