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Finding the Third Proportional to 225,423 and 359,458.50

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Solution

The third proportional to 225,423 and 359,458.50 is: 573,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,423 : 359,458.50 = 359,458.50 : x
  2. Step 2: Convert to fraction form
    225,423/359,458.50 = 359,458.50/x
  3. Step 3: Cross multiply
    225,423x = 359,458.50 × 359,458.50
  4. Step 4: Simplify right side
    225,423x = 129,210,413,222.25
  5. Step 5: Solve for x
    x = 129,210,413,222.25/225,423
  6. Step 6: Final answer
    x = 573,190.90

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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.