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Finding the Third Proportional to 169,776 and 229,752

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Solution

The third proportional to 169,776 and 229,752 is: 310,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,776 : 229,752 = 229,752 : x
  2. Step 2: Convert to fraction form
    169,776/229,752 = 229,752/x
  3. Step 3: Cross multiply
    169,776x = 229,752 × 229,752
  4. Step 4: Simplify right side
    169,776x = 52,785,981,504
  5. Step 5: Solve for x
    x = 52,785,981,504/169,776
  6. Step 6: Final answer
    x = 310,915.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.