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Finding the Third Proportional to 153,532 and 333,289

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Solution

The third proportional to 153,532 and 333,289 is: 723,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,532 : 333,289 = 333,289 : x
  2. Step 2: Convert to fraction form
    153,532/333,289 = 333,289/x
  3. Step 3: Cross multiply
    153,532x = 333,289 × 333,289
  4. Step 4: Simplify right side
    153,532x = 111,081,557,521
  5. Step 5: Solve for x
    x = 111,081,557,521/153,532
  6. Step 6: Final answer
    x = 723,507.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.