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Finding the Third Proportional to 145,688 and 225,001.50

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Solution

The third proportional to 145,688 and 225,001.50 is: 347,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,688 : 225,001.50 = 225,001.50 : x
  2. Step 2: Convert to fraction form
    145,688/225,001.50 = 225,001.50/x
  3. Step 3: Cross multiply
    145,688x = 225,001.50 × 225,001.50
  4. Step 4: Simplify right side
    145,688x = 50,625,675,002.25
  5. Step 5: Solve for x
    x = 50,625,675,002.25/145,688
  6. Step 6: Final answer
    x = 347,493.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.