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Finding the Third Proportional to 131,368.50 and 272,079

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Solution

The third proportional to 131,368.50 and 272,079 is: 563,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,368.50 : 272,079 = 272,079 : x
  2. Step 2: Convert to fraction form
    131,368.50/272,079 = 272,079/x
  3. Step 3: Cross multiply
    131,368.50x = 272,079 × 272,079
  4. Step 4: Simplify right side
    131,368.50x = 74,026,982,241
  5. Step 5: Solve for x
    x = 74,026,982,241/131,368.50
  6. Step 6: Final answer
    x = 563,506.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.