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Finding the Third Proportional to 152,605.69 and 224,498.25

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Solution

The third proportional to 152,605.69 and 224,498.25 is: 330,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605.69 : 224,498.25 = 224,498.25 : x
  2. Step 2: Convert to fraction form
    152,605.69/224,498.25 = 224,498.25/x
  3. Step 3: Cross multiply
    152,605.69x = 224,498.25 × 224,498.25
  4. Step 4: Simplify right side
    152,605.69x = 50,399,464,253.06
  5. Step 5: Solve for x
    x = 50,399,464,253.06/152,605.69
  6. Step 6: Final answer
    x = 330,259.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.