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Finding the Third Proportional to 132,054 and 290,352

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Solution

The third proportional to 132,054 and 290,352 is: 638,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,054 : 290,352 = 290,352 : x
  2. Step 2: Convert to fraction form
    132,054/290,352 = 290,352/x
  3. Step 3: Cross multiply
    132,054x = 290,352 × 290,352
  4. Step 4: Simplify right side
    132,054x = 84,304,283,904
  5. Step 5: Solve for x
    x = 84,304,283,904/132,054
  6. Step 6: Final answer
    x = 638,407.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.