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Finding the Third Proportional to 132,335 and 287,996

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Solution

The third proportional to 132,335 and 287,996 is: 626,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,335 : 287,996 = 287,996 : x
  2. Step 2: Convert to fraction form
    132,335/287,996 = 287,996/x
  3. Step 3: Cross multiply
    132,335x = 287,996 × 287,996
  4. Step 4: Simplify right side
    132,335x = 82,941,696,016
  5. Step 5: Solve for x
    x = 82,941,696,016/132,335
  6. Step 6: Final answer
    x = 626,755.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.