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Finding the Third Proportional to 153,469.69 and 314,320.50

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Solution

The third proportional to 153,469.69 and 314,320.50 is: 643,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,469.69 : 314,320.50 = 314,320.50 : x
  2. Step 2: Convert to fraction form
    153,469.69/314,320.50 = 314,320.50/x
  3. Step 3: Cross multiply
    153,469.69x = 314,320.50 × 314,320.50
  4. Step 4: Simplify right side
    153,469.69x = 98,797,376,720.25
  5. Step 5: Solve for x
    x = 98,797,376,720.25/153,469.69
  6. Step 6: Final answer
    x = 643,758.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.