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Finding the Third Proportional to 105,670.13 and 249,192.56

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Solution

The third proportional to 105,670.13 and 249,192.56 is: 587,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,670.13 : 249,192.56 = 249,192.56 : x
  2. Step 2: Convert to fraction form
    105,670.13/249,192.56 = 249,192.56/x
  3. Step 3: Cross multiply
    105,670.13x = 249,192.56 × 249,192.56
  4. Step 4: Simplify right side
    105,670.13x = 62,096,933,205.32
  5. Step 5: Solve for x
    x = 62,096,933,205.32/105,670.13
  6. Step 6: Final answer
    x = 587,648.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.