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Finding the Third Proportional to 207,417.38 and 313,034.63

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Solution

The third proportional to 207,417.38 and 313,034.63 is: 472,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,417.38 : 313,034.63 = 313,034.63 : x
  2. Step 2: Convert to fraction form
    207,417.38/313,034.63 = 313,034.63/x
  3. Step 3: Cross multiply
    207,417.38x = 313,034.63 × 313,034.63
  4. Step 4: Simplify right side
    207,417.38x = 97,990,676,448.89
  5. Step 5: Solve for x
    x = 97,990,676,448.89/207,417.38
  6. Step 6: Final answer
    x = 472,432.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.