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Finding the Third Proportional to 151,368 and 229,164

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Solution

The third proportional to 151,368 and 229,164 is: 346,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,368 : 229,164 = 229,164 : x
  2. Step 2: Convert to fraction form
    151,368/229,164 = 229,164/x
  3. Step 3: Cross multiply
    151,368x = 229,164 × 229,164
  4. Step 4: Simplify right side
    151,368x = 52,516,138,896
  5. Step 5: Solve for x
    x = 52,516,138,896/151,368
  6. Step 6: Final answer
    x = 346,943.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.