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Finding the Third Proportional to 153,162 and 235,363

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Solution

The third proportional to 153,162 and 235,363 is: 361,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,162 : 235,363 = 235,363 : x
  2. Step 2: Convert to fraction form
    153,162/235,363 = 235,363/x
  3. Step 3: Cross multiply
    153,162x = 235,363 × 235,363
  4. Step 4: Simplify right side
    153,162x = 55,395,741,769
  5. Step 5: Solve for x
    x = 55,395,741,769/153,162
  6. Step 6: Final answer
    x = 361,680.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.