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Finding the Third Proportional to 115,344 and 249,120

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Solution

The third proportional to 115,344 and 249,120 is: 538,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,344 : 249,120 = 249,120 : x
  2. Step 2: Convert to fraction form
    115,344/249,120 = 249,120/x
  3. Step 3: Cross multiply
    115,344x = 249,120 × 249,120
  4. Step 4: Simplify right side
    115,344x = 62,060,774,400
  5. Step 5: Solve for x
    x = 62,060,774,400/115,344
  6. Step 6: Final answer
    x = 538,049.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.