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Finding the Third Proportional to 158,071.50 and 338,276.25

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Solution

The third proportional to 158,071.50 and 338,276.25 is: 723,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,071.50 : 338,276.25 = 338,276.25 : x
  2. Step 2: Convert to fraction form
    158,071.50/338,276.25 = 338,276.25/x
  3. Step 3: Cross multiply
    158,071.50x = 338,276.25 × 338,276.25
  4. Step 4: Simplify right side
    158,071.50x = 114,430,821,314.06
  5. Step 5: Solve for x
    x = 114,430,821,314.06/158,071.50
  6. Step 6: Final answer
    x = 723,918.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.