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Finding the Third Proportional to 158,814 and 340,650

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Solution

The third proportional to 158,814 and 340,650 is: 730,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,814 : 340,650 = 340,650 : x
  2. Step 2: Convert to fraction form
    158,814/340,650 = 340,650/x
  3. Step 3: Cross multiply
    158,814x = 340,650 × 340,650
  4. Step 4: Simplify right side
    158,814x = 116,042,422,500
  5. Step 5: Solve for x
    x = 116,042,422,500/158,814
  6. Step 6: Final answer
    x = 730,681.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.