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Finding the Third Proportional to 158,658 and 346,255.50

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Solution

The third proportional to 158,658 and 346,255.50 is: 755,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,658 : 346,255.50 = 346,255.50 : x
  2. Step 2: Convert to fraction form
    158,658/346,255.50 = 346,255.50/x
  3. Step 3: Cross multiply
    158,658x = 346,255.50 × 346,255.50
  4. Step 4: Simplify right side
    158,658x = 119,892,871,280.25
  5. Step 5: Solve for x
    x = 119,892,871,280.25/158,658
  6. Step 6: Final answer
    x = 755,668.62

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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.