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Finding the Third Proportional to 131,706 and 277,357.50

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Solution

The third proportional to 131,706 and 277,357.50 is: 584,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,706 : 277,357.50 = 277,357.50 : x
  2. Step 2: Convert to fraction form
    131,706/277,357.50 = 277,357.50/x
  3. Step 3: Cross multiply
    131,706x = 277,357.50 × 277,357.50
  4. Step 4: Simplify right side
    131,706x = 76,927,182,806.25
  5. Step 5: Solve for x
    x = 76,927,182,806.25/131,706
  6. Step 6: Final answer
    x = 584,082.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.