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Finding the Third Proportional to 159,822 and 344,553

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Solution

The third proportional to 159,822 and 344,553 is: 742,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,822 : 344,553 = 344,553 : x
  2. Step 2: Convert to fraction form
    159,822/344,553 = 344,553/x
  3. Step 3: Cross multiply
    159,822x = 344,553 × 344,553
  4. Step 4: Simplify right side
    159,822x = 118,716,769,809
  5. Step 5: Solve for x
    x = 118,716,769,809/159,822
  6. Step 6: Final answer
    x = 742,806.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.