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Finding the Third Proportional to 160,464 and 240,120

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Solution

The third proportional to 160,464 and 240,120 is: 359,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,464 : 240,120 = 240,120 : x
  2. Step 2: Convert to fraction form
    160,464/240,120 = 240,120/x
  3. Step 3: Cross multiply
    160,464x = 240,120 × 240,120
  4. Step 4: Simplify right side
    160,464x = 57,657,614,400
  5. Step 5: Solve for x
    x = 57,657,614,400/160,464
  6. Step 6: Final answer
    x = 359,318.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.