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Finding the Third Proportional to 231,585.75 and 369,829.13

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Solution

The third proportional to 231,585.75 and 369,829.13 is: 590,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,585.75 : 369,829.13 = 369,829.13 : x
  2. Step 2: Convert to fraction form
    231,585.75/369,829.13 = 369,829.13/x
  3. Step 3: Cross multiply
    231,585.75x = 369,829.13 × 369,829.13
  4. Step 4: Simplify right side
    231,585.75x = 136,773,581,698.27
  5. Step 5: Solve for x
    x = 136,773,581,698.27/231,585.75
  6. Step 6: Final answer
    x = 590,595.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.