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Finding the Third Proportional to 158,292 and 340,776

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Solution

The third proportional to 158,292 and 340,776 is: 733,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,292 : 340,776 = 340,776 : x
  2. Step 2: Convert to fraction form
    158,292/340,776 = 340,776/x
  3. Step 3: Cross multiply
    158,292x = 340,776 × 340,776
  4. Step 4: Simplify right side
    158,292x = 116,128,282,176
  5. Step 5: Solve for x
    x = 116,128,282,176/158,292
  6. Step 6: Final answer
    x = 733,633.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.