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Finding the Third Proportional to 169,492 and 229,931

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Solution

The third proportional to 169,492 and 229,931 is: 311,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,492 : 229,931 = 229,931 : x
  2. Step 2: Convert to fraction form
    169,492/229,931 = 229,931/x
  3. Step 3: Cross multiply
    169,492x = 229,931 × 229,931
  4. Step 4: Simplify right side
    169,492x = 52,868,264,761
  5. Step 5: Solve for x
    x = 52,868,264,761/169,492
  6. Step 6: Final answer
    x = 311,921.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.