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Finding the Third Proportional to 153,822 and 340,814

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Solution

The third proportional to 153,822 and 340,814 is: 755,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,822 : 340,814 = 340,814 : x
  2. Step 2: Convert to fraction form
    153,822/340,814 = 340,814/x
  3. Step 3: Cross multiply
    153,822x = 340,814 × 340,814
  4. Step 4: Simplify right side
    153,822x = 116,154,182,596
  5. Step 5: Solve for x
    x = 116,154,182,596/153,822
  6. Step 6: Final answer
    x = 755,120.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.