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Finding the Third Proportional to 132,413 and 202,594

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Solution

The third proportional to 132,413 and 202,594 is: 309,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,413 : 202,594 = 202,594 : x
  2. Step 2: Convert to fraction form
    132,413/202,594 = 202,594/x
  3. Step 3: Cross multiply
    132,413x = 202,594 × 202,594
  4. Step 4: Simplify right side
    132,413x = 41,044,328,836
  5. Step 5: Solve for x
    x = 41,044,328,836/132,413
  6. Step 6: Final answer
    x = 309,972.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.