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Finding the Third Proportional to 149,472 and 249,120

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Solution

The third proportional to 149,472 and 249,120 is: 415,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472 : 249,120 = 249,120 : x
  2. Step 2: Convert to fraction form
    149,472/249,120 = 249,120/x
  3. Step 3: Cross multiply
    149,472x = 249,120 × 249,120
  4. Step 4: Simplify right side
    149,472x = 62,060,774,400
  5. Step 5: Solve for x
    x = 62,060,774,400/149,472
  6. Step 6: Final answer
    x = 415,200

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.