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Finding the Third Proportional to 153,365.25 and 328,053

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Solution

The third proportional to 153,365.25 and 328,053 is: 701,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,365.25 : 328,053 = 328,053 : x
  2. Step 2: Convert to fraction form
    153,365.25/328,053 = 328,053/x
  3. Step 3: Cross multiply
    153,365.25x = 328,053 × 328,053
  4. Step 4: Simplify right side
    153,365.25x = 107,618,770,809
  5. Step 5: Solve for x
    x = 107,618,770,809/153,365.25
  6. Step 6: Final answer
    x = 701,715.49

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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.