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Finding the Third Proportional to 156,262.50 and 240,880.50

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Solution

The third proportional to 156,262.50 and 240,880.50 is: 371,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,262.50 : 240,880.50 = 240,880.50 : x
  2. Step 2: Convert to fraction form
    156,262.50/240,880.50 = 240,880.50/x
  3. Step 3: Cross multiply
    156,262.50x = 240,880.50 × 240,880.50
  4. Step 4: Simplify right side
    156,262.50x = 58,023,415,280.25
  5. Step 5: Solve for x
    x = 58,023,415,280.25/156,262.50
  6. Step 6: Final answer
    x = 371,320.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.