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Finding the Third Proportional to 153,842 and 333,926

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Solution

The third proportional to 153,842 and 333,926 is: 724,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842 : 333,926 = 333,926 : x
  2. Step 2: Convert to fraction form
    153,842/333,926 = 333,926/x
  3. Step 3: Cross multiply
    153,842x = 333,926 × 333,926
  4. Step 4: Simplify right side
    153,842x = 111,506,573,476
  5. Step 5: Solve for x
    x = 111,506,573,476/153,842
  6. Step 6: Final answer
    x = 724,812.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.