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Finding the Third Proportional to 230,877 and 345,386.25

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Solution

The third proportional to 230,877 and 345,386.25 is: 516,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,877 : 345,386.25 = 345,386.25 : x
  2. Step 2: Convert to fraction form
    230,877/345,386.25 = 345,386.25/x
  3. Step 3: Cross multiply
    230,877x = 345,386.25 × 345,386.25
  4. Step 4: Simplify right side
    230,877x = 119,291,661,689.06
  5. Step 5: Solve for x
    x = 119,291,661,689.06/230,877
  6. Step 6: Final answer
    x = 516,689.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.