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Finding the Third Proportional to 202,047 and 316,953

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Solution

The third proportional to 202,047 and 316,953 is: 497,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047 : 316,953 = 316,953 : x
  2. Step 2: Convert to fraction form
    202,047/316,953 = 316,953/x
  3. Step 3: Cross multiply
    202,047x = 316,953 × 316,953
  4. Step 4: Simplify right side
    202,047x = 100,459,204,209
  5. Step 5: Solve for x
    x = 100,459,204,209/202,047
  6. Step 6: Final answer
    x = 497,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.