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Finding the Third Proportional to 158,602.50 and 231,574.50

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Solution

The third proportional to 158,602.50 and 231,574.50 is: 338,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,602.50 : 231,574.50 = 231,574.50 : x
  2. Step 2: Convert to fraction form
    158,602.50/231,574.50 = 231,574.50/x
  3. Step 3: Cross multiply
    158,602.50x = 231,574.50 × 231,574.50
  4. Step 4: Simplify right side
    158,602.50x = 53,626,749,050.25
  5. Step 5: Solve for x
    x = 53,626,749,050.25/158,602.50
  6. Step 6: Final answer
    x = 338,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.