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Finding the Third Proportional to 160,712 and 348,186

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Solution

The third proportional to 160,712 and 348,186 is: 754,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,712 : 348,186 = 348,186 : x
  2. Step 2: Convert to fraction form
    160,712/348,186 = 348,186/x
  3. Step 3: Cross multiply
    160,712x = 348,186 × 348,186
  4. Step 4: Simplify right side
    160,712x = 121,233,490,596
  5. Step 5: Solve for x
    x = 121,233,490,596/160,712
  6. Step 6: Final answer
    x = 754,352.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.