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Finding the Third Proportional to 155,959 and 235,046

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Solution

The third proportional to 155,959 and 235,046 is: 354,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,959 : 235,046 = 235,046 : x
  2. Step 2: Convert to fraction form
    155,959/235,046 = 235,046/x
  3. Step 3: Cross multiply
    155,959x = 235,046 × 235,046
  4. Step 4: Simplify right side
    155,959x = 55,246,622,116
  5. Step 5: Solve for x
    x = 55,246,622,116/155,959
  6. Step 6: Final answer
    x = 354,238.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.