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Finding the Third Proportional to 145,229.50 and 319,097

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Solution

The third proportional to 145,229.50 and 319,097 is: 701,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,229.50 : 319,097 = 319,097 : x
  2. Step 2: Convert to fraction form
    145,229.50/319,097 = 319,097/x
  3. Step 3: Cross multiply
    145,229.50x = 319,097 × 319,097
  4. Step 4: Simplify right side
    145,229.50x = 101,822,895,409
  5. Step 5: Solve for x
    x = 101,822,895,409/145,229.50
  6. Step 6: Final answer
    x = 701,117.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.