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Finding the Third Proportional to 145,632 and 220,703.50

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Solution

The third proportional to 145,632 and 220,703.50 is: 334,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,632 : 220,703.50 = 220,703.50 : x
  2. Step 2: Convert to fraction form
    145,632/220,703.50 = 220,703.50/x
  3. Step 3: Cross multiply
    145,632x = 220,703.50 × 220,703.50
  4. Step 4: Simplify right side
    145,632x = 48,710,034,912.25
  5. Step 5: Solve for x
    x = 48,710,034,912.25/145,632
  6. Step 6: Final answer
    x = 334,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.