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Finding the Third Proportional to 250,746 and 366,510

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Solution

The third proportional to 250,746 and 366,510 is: 535,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,746 : 366,510 = 366,510 : x
  2. Step 2: Convert to fraction form
    250,746/366,510 = 366,510/x
  3. Step 3: Cross multiply
    250,746x = 366,510 × 366,510
  4. Step 4: Simplify right side
    250,746x = 134,329,580,100
  5. Step 5: Solve for x
    x = 134,329,580,100/250,746
  6. Step 6: Final answer
    x = 535,719.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.