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Finding the Third Proportional to 158,071.50 and 344,695.50

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Solution

The third proportional to 158,071.50 and 344,695.50 is: 751,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,071.50 : 344,695.50 = 344,695.50 : x
  2. Step 2: Convert to fraction form
    158,071.50/344,695.50 = 344,695.50/x
  3. Step 3: Cross multiply
    158,071.50x = 344,695.50 × 344,695.50
  4. Step 4: Simplify right side
    158,071.50x = 118,814,987,720.25
  5. Step 5: Solve for x
    x = 118,814,987,720.25/158,071.50
  6. Step 6: Final answer
    x = 751,653.45

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Why These Related Problems?

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