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Finding the Third Proportional to 155,221 and 340,924

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Solution

The third proportional to 155,221 and 340,924 is: 748,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,221 : 340,924 = 340,924 : x
  2. Step 2: Convert to fraction form
    155,221/340,924 = 340,924/x
  3. Step 3: Cross multiply
    155,221x = 340,924 × 340,924
  4. Step 4: Simplify right side
    155,221x = 116,229,173,776
  5. Step 5: Solve for x
    x = 116,229,173,776/155,221
  6. Step 6: Final answer
    x = 748,798.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.