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Finding the Third Proportional to 151,446 and 233,484.75

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Solution

The third proportional to 151,446 and 233,484.75 is: 359,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,446 : 233,484.75 = 233,484.75 : x
  2. Step 2: Convert to fraction form
    151,446/233,484.75 = 233,484.75/x
  3. Step 3: Cross multiply
    151,446x = 233,484.75 × 233,484.75
  4. Step 4: Simplify right side
    151,446x = 54,515,128,482.56
  5. Step 5: Solve for x
    x = 54,515,128,482.56/151,446
  6. Step 6: Final answer
    x = 359,964.14

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Why These Related Problems?

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