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Finding the Third Proportional to 158,742 and 343,360.50

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Solution

The third proportional to 158,742 and 343,360.50 is: 742,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,742 : 343,360.50 = 343,360.50 : x
  2. Step 2: Convert to fraction form
    158,742/343,360.50 = 343,360.50/x
  3. Step 3: Cross multiply
    158,742x = 343,360.50 × 343,360.50
  4. Step 4: Simplify right side
    158,742x = 117,896,432,960.25
  5. Step 5: Solve for x
    x = 117,896,432,960.25/158,742
  6. Step 6: Final answer
    x = 742,692.12

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