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Finding the Third Proportional to 160,776 and 349,221

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Solution

The third proportional to 160,776 and 349,221 is: 758,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,776 : 349,221 = 349,221 : x
  2. Step 2: Convert to fraction form
    160,776/349,221 = 349,221/x
  3. Step 3: Cross multiply
    160,776x = 349,221 × 349,221
  4. Step 4: Simplify right side
    160,776x = 121,955,306,841
  5. Step 5: Solve for x
    x = 121,955,306,841/160,776
  6. Step 6: Final answer
    x = 758,541.74

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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.