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Finding the Third Proportional to 153,120 and 223,632

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Solution

The third proportional to 153,120 and 223,632 is: 326,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,120 : 223,632 = 223,632 : x
  2. Step 2: Convert to fraction form
    153,120/223,632 = 223,632/x
  3. Step 3: Cross multiply
    153,120x = 223,632 × 223,632
  4. Step 4: Simplify right side
    153,120x = 50,011,271,424
  5. Step 5: Solve for x
    x = 50,011,271,424/153,120
  6. Step 6: Final answer
    x = 326,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.