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Finding the Third Proportional to 202,044 and 316,947

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Solution

The third proportional to 202,044 and 316,947 is: 497,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044 : 316,947 = 316,947 : x
  2. Step 2: Convert to fraction form
    202,044/316,947 = 316,947/x
  3. Step 3: Cross multiply
    202,044x = 316,947 × 316,947
  4. Step 4: Simplify right side
    202,044x = 100,455,400,809
  5. Step 5: Solve for x
    x = 100,455,400,809/202,044
  6. Step 6: Final answer
    x = 497,195.66

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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.