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Finding the Third Proportional to 158,381 and 341,518

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Solution

The third proportional to 158,381 and 341,518 is: 736,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,381 : 341,518 = 341,518 : x
  2. Step 2: Convert to fraction form
    158,381/341,518 = 341,518/x
  3. Step 3: Cross multiply
    158,381x = 341,518 × 341,518
  4. Step 4: Simplify right side
    158,381x = 116,634,544,324
  5. Step 5: Solve for x
    x = 116,634,544,324/158,381
  6. Step 6: Final answer
    x = 736,417.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.