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Finding the Third Proportional to 157,005 and 340,074

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Solution

The third proportional to 157,005 and 340,074 is: 736,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005 : 340,074 = 340,074 : x
  2. Step 2: Convert to fraction form
    157,005/340,074 = 340,074/x
  3. Step 3: Cross multiply
    157,005x = 340,074 × 340,074
  4. Step 4: Simplify right side
    157,005x = 115,650,325,476
  5. Step 5: Solve for x
    x = 115,650,325,476/157,005
  6. Step 6: Final answer
    x = 736,602.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.