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Finding the Third Proportional to 173,724.75 and 260,587.13

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Solution

The third proportional to 173,724.75 and 260,587.13 is: 390,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,724.75 : 260,587.13 = 260,587.13 : x
  2. Step 2: Convert to fraction form
    173,724.75/260,587.13 = 260,587.13/x
  3. Step 3: Cross multiply
    173,724.75x = 260,587.13 × 260,587.13
  4. Step 4: Simplify right side
    173,724.75x = 67,905,649,715.77
  5. Step 5: Solve for x
    x = 67,905,649,715.77/173,724.75
  6. Step 6: Final answer
    x = 390,880.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.