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Finding the Third Proportional to 155,416.50 and 246,913.50

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Solution

The third proportional to 155,416.50 and 246,913.50 is: 392,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,416.50 : 246,913.50 = 246,913.50 : x
  2. Step 2: Convert to fraction form
    155,416.50/246,913.50 = 246,913.50/x
  3. Step 3: Cross multiply
    155,416.50x = 246,913.50 × 246,913.50
  4. Step 4: Simplify right side
    155,416.50x = 60,966,276,482.25
  5. Step 5: Solve for x
    x = 60,966,276,482.25/155,416.50
  6. Step 6: Final answer
    x = 392,276.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.