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Finding the Third Proportional to 158,661 and 346,261.50

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Solution

The third proportional to 158,661 and 346,261.50 is: 755,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,661 : 346,261.50 = 346,261.50 : x
  2. Step 2: Convert to fraction form
    158,661/346,261.50 = 346,261.50/x
  3. Step 3: Cross multiply
    158,661x = 346,261.50 × 346,261.50
  4. Step 4: Simplify right side
    158,661x = 119,897,026,382.25
  5. Step 5: Solve for x
    x = 119,897,026,382.25/158,661
  6. Step 6: Final answer
    x = 755,680.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.