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Finding the Third Proportional to 160,964 and 240,592

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Solution

The third proportional to 160,964 and 240,592 is: 359,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,964 : 240,592 = 240,592 : x
  2. Step 2: Convert to fraction form
    160,964/240,592 = 240,592/x
  3. Step 3: Cross multiply
    160,964x = 240,592 × 240,592
  4. Step 4: Simplify right side
    160,964x = 57,884,510,464
  5. Step 5: Solve for x
    x = 57,884,510,464/160,964
  6. Step 6: Final answer
    x = 359,611.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.