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Finding the Third Proportional to 145,047 and 225,063

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Solution

The third proportional to 145,047 and 225,063 is: 349,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,047 : 225,063 = 225,063 : x
  2. Step 2: Convert to fraction form
    145,047/225,063 = 225,063/x
  3. Step 3: Cross multiply
    145,047x = 225,063 × 225,063
  4. Step 4: Simplify right side
    145,047x = 50,653,353,969
  5. Step 5: Solve for x
    x = 50,653,353,969/145,047
  6. Step 6: Final answer
    x = 349,220.28

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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.