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Finding the Third Proportional to 153,000.75 and 334,363.50

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Solution

The third proportional to 153,000.75 and 334,363.50 is: 730,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,000.75 : 334,363.50 = 334,363.50 : x
  2. Step 2: Convert to fraction form
    153,000.75/334,363.50 = 334,363.50/x
  3. Step 3: Cross multiply
    153,000.75x = 334,363.50 × 334,363.50
  4. Step 4: Simplify right side
    153,000.75x = 111,798,950,132.25
  5. Step 5: Solve for x
    x = 111,798,950,132.25/153,000.75
  6. Step 6: Final answer
    x = 730,708.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.