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Finding the Third Proportional to 160,712 and 242,526

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Solution

The third proportional to 160,712 and 242,526 is: 365,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,712 : 242,526 = 242,526 : x
  2. Step 2: Convert to fraction form
    160,712/242,526 = 242,526/x
  3. Step 3: Cross multiply
    160,712x = 242,526 × 242,526
  4. Step 4: Simplify right side
    160,712x = 58,818,860,676
  5. Step 5: Solve for x
    x = 58,818,860,676/160,712
  6. Step 6: Final answer
    x = 365,989.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.