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Finding the Third Proportional to 229,537.13 and 349,386.19

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Solution

The third proportional to 229,537.13 and 349,386.19 is: 531,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,537.13 : 349,386.19 = 349,386.19 : x
  2. Step 2: Convert to fraction form
    229,537.13/349,386.19 = 349,386.19/x
  3. Step 3: Cross multiply
    229,537.13x = 349,386.19 × 349,386.19
  4. Step 4: Simplify right side
    229,537.13x = 122,070,708,015.79
  5. Step 5: Solve for x
    x = 122,070,708,015.79/229,537.13
  6. Step 6: Final answer
    x = 531,812.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.