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Finding the Third Proportional to 210,817.69 and 310,645.13

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Solution

The third proportional to 210,817.69 and 310,645.13 is: 457,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,817.69 : 310,645.13 = 310,645.13 : x
  2. Step 2: Convert to fraction form
    210,817.69/310,645.13 = 310,645.13/x
  3. Step 3: Cross multiply
    210,817.69x = 310,645.13 × 310,645.13
  4. Step 4: Simplify right side
    210,817.69x = 96,500,393,686.27
  5. Step 5: Solve for x
    x = 96,500,393,686.27/210,817.69
  6. Step 6: Final answer
    x = 457,743.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.