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Finding the Third Proportional to 153,028 and 233,926

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Solution

The third proportional to 153,028 and 233,926 is: 357,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,028 : 233,926 = 233,926 : x
  2. Step 2: Convert to fraction form
    153,028/233,926 = 233,926/x
  3. Step 3: Cross multiply
    153,028x = 233,926 × 233,926
  4. Step 4: Simplify right side
    153,028x = 54,721,373,476
  5. Step 5: Solve for x
    x = 54,721,373,476/153,028
  6. Step 6: Final answer
    x = 357,590.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.