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Finding the Third Proportional to 158,426 and 215,228

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Solution

The third proportional to 158,426 and 215,228 is: 292,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,426 : 215,228 = 215,228 : x
  2. Step 2: Convert to fraction form
    158,426/215,228 = 215,228/x
  3. Step 3: Cross multiply
    158,426x = 215,228 × 215,228
  4. Step 4: Simplify right side
    158,426x = 46,323,091,984
  5. Step 5: Solve for x
    x = 46,323,091,984/158,426
  6. Step 6: Final answer
    x = 292,395.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.