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Finding the Third Proportional to 207,370.13 and 312,957

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Solution

The third proportional to 207,370.13 and 312,957 is: 472,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,370.13 : 312,957 = 312,957 : x
  2. Step 2: Convert to fraction form
    207,370.13/312,957 = 312,957/x
  3. Step 3: Cross multiply
    207,370.13x = 312,957 × 312,957
  4. Step 4: Simplify right side
    207,370.13x = 97,942,083,849
  5. Step 5: Solve for x
    x = 97,942,083,849/207,370.13
  6. Step 6: Final answer
    x = 472,305.66

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