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Finding the Third Proportional to 105,660.50 and 249,169.50

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Solution

The third proportional to 105,660.50 and 249,169.50 is: 587,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,660.50 : 249,169.50 = 249,169.50 : x
  2. Step 2: Convert to fraction form
    105,660.50/249,169.50 = 249,169.50/x
  3. Step 3: Cross multiply
    105,660.50x = 249,169.50 × 249,169.50
  4. Step 4: Simplify right side
    105,660.50x = 62,085,439,730.25
  5. Step 5: Solve for x
    x = 62,085,439,730.25/105,660.50
  6. Step 6: Final answer
    x = 587,593.66

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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.