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Finding the Third Proportional to 145,830 and 319,092

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Solution

The third proportional to 145,830 and 319,092 is: 698,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 319,092 = 319,092 : x
  2. Step 2: Convert to fraction form
    145,830/319,092 = 319,092/x
  3. Step 3: Cross multiply
    145,830x = 319,092 × 319,092
  4. Step 4: Simplify right side
    145,830x = 101,819,704,464
  5. Step 5: Solve for x
    x = 101,819,704,464/145,830
  6. Step 6: Final answer
    x = 698,208.22

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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.