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Finding the Third Proportional to 225,784.50 and 349,792.50

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Solution

The third proportional to 225,784.50 and 349,792.50 is: 541,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.50 : 349,792.50 = 349,792.50 : x
  2. Step 2: Convert to fraction form
    225,784.50/349,792.50 = 349,792.50/x
  3. Step 3: Cross multiply
    225,784.50x = 349,792.50 × 349,792.50
  4. Step 4: Simplify right side
    225,784.50x = 122,354,793,056.25
  5. Step 5: Solve for x
    x = 122,354,793,056.25/225,784.50
  6. Step 6: Final answer
    x = 541,909.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.