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Finding the Third Proportional to 132,160 and 212,798

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Solution

The third proportional to 132,160 and 212,798 is: 342,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,160 : 212,798 = 212,798 : x
  2. Step 2: Convert to fraction form
    132,160/212,798 = 212,798/x
  3. Step 3: Cross multiply
    132,160x = 212,798 × 212,798
  4. Step 4: Simplify right side
    132,160x = 45,282,988,804
  5. Step 5: Solve for x
    x = 45,282,988,804/132,160
  6. Step 6: Final answer
    x = 342,637.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.