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Finding the Third Proportional to 173,130.75 and 260,836.88

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Solution

The third proportional to 173,130.75 and 260,836.88 is: 392,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,130.75 : 260,836.88 = 260,836.88 : x
  2. Step 2: Convert to fraction form
    173,130.75/260,836.88 = 260,836.88/x
  3. Step 3: Cross multiply
    173,130.75x = 260,836.88 × 260,836.88
  4. Step 4: Simplify right side
    173,130.75x = 68,035,875,359.77
  5. Step 5: Solve for x
    x = 68,035,875,359.77/173,130.75
  6. Step 6: Final answer
    x = 392,973.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.