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Finding the Third Proportional to 151,368 and 234,216

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Solution

The third proportional to 151,368 and 234,216 is: 362,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,368 : 234,216 = 234,216 : x
  2. Step 2: Convert to fraction form
    151,368/234,216 = 234,216/x
  3. Step 3: Cross multiply
    151,368x = 234,216 × 234,216
  4. Step 4: Simplify right side
    151,368x = 54,857,134,656
  5. Step 5: Solve for x
    x = 54,857,134,656/151,368
  6. Step 6: Final answer
    x = 362,409.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.