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Finding the Third Proportional to 151,786 and 234,524

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Solution

The third proportional to 151,786 and 234,524 is: 362,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,786 : 234,524 = 234,524 : x
  2. Step 2: Convert to fraction form
    151,786/234,524 = 234,524/x
  3. Step 3: Cross multiply
    151,786x = 234,524 × 234,524
  4. Step 4: Simplify right side
    151,786x = 55,001,506,576
  5. Step 5: Solve for x
    x = 55,001,506,576/151,786
  6. Step 6: Final answer
    x = 362,362.18

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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.