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Finding the Third Proportional to 153,567 and 335,502

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Solution

The third proportional to 153,567 and 335,502 is: 732,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,567 : 335,502 = 335,502 : x
  2. Step 2: Convert to fraction form
    153,567/335,502 = 335,502/x
  3. Step 3: Cross multiply
    153,567x = 335,502 × 335,502
  4. Step 4: Simplify right side
    153,567x = 112,561,592,004
  5. Step 5: Solve for x
    x = 112,561,592,004/153,567
  6. Step 6: Final answer
    x = 732,980.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.