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Finding the Third Proportional to 170,856 and 272,076

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Solution

The third proportional to 170,856 and 272,076 is: 433,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,856 : 272,076 = 272,076 : x
  2. Step 2: Convert to fraction form
    170,856/272,076 = 272,076/x
  3. Step 3: Cross multiply
    170,856x = 272,076 × 272,076
  4. Step 4: Simplify right side
    170,856x = 74,025,349,776
  5. Step 5: Solve for x
    x = 74,025,349,776/170,856
  6. Step 6: Final answer
    x = 433,261.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.