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Finding the Third Proportional to 158,986.13 and 238,820.06

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Solution

The third proportional to 158,986.13 and 238,820.06 is: 358,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,986.13 : 238,820.06 = 238,820.06 : x
  2. Step 2: Convert to fraction form
    158,986.13/238,820.06 = 238,820.06/x
  3. Step 3: Cross multiply
    158,986.13x = 238,820.06 × 238,820.06
  4. Step 4: Simplify right side
    158,986.13x = 57,035,022,252.50
  5. Step 5: Solve for x
    x = 57,035,022,252.50/158,986.13
  6. Step 6: Final answer
    x = 358,742.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.