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Finding the Third Proportional to 210,745.13 and 310,537.13

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Solution

The third proportional to 210,745.13 and 310,537.13 is: 457,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,745.13 : 310,537.13 = 310,537.13 : x
  2. Step 2: Convert to fraction form
    210,745.13/310,537.13 = 310,537.13/x
  3. Step 3: Cross multiply
    210,745.13x = 310,537.13 × 310,537.13
  4. Step 4: Simplify right side
    210,745.13x = 96,433,306,003.27
  5. Step 5: Solve for x
    x = 96,433,306,003.27/210,745.13
  6. Step 6: Final answer
    x = 457,582.62

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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.