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Finding the Third Proportional to 145,696 and 319,536

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Solution

The third proportional to 145,696 and 319,536 is: 700,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,696 : 319,536 = 319,536 : x
  2. Step 2: Convert to fraction form
    145,696/319,536 = 319,536/x
  3. Step 3: Cross multiply
    145,696x = 319,536 × 319,536
  4. Step 4: Simplify right side
    145,696x = 102,103,255,296
  5. Step 5: Solve for x
    x = 102,103,255,296/145,696
  6. Step 6: Final answer
    x = 700,796.56

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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.