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Finding the Third Proportional to 132,413 and 271,802.50

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Solution

The third proportional to 132,413 and 271,802.50 is: 557,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413 : 271,802.50 = 271,802.50 : x
  2. Step 2: Convert to fraction form
    132,413/271,802.50 = 271,802.50/x
  3. Step 3: Cross multiply
    132,413x = 271,802.50 × 271,802.50
  4. Step 4: Simplify right side
    132,413x = 73,876,599,006.25
  5. Step 5: Solve for x
    x = 73,876,599,006.25/132,413
  6. Step 6: Final answer
    x = 557,925.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.