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Finding the Third Proportional to 153,802 and 329,473.50

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Solution

The third proportional to 153,802 and 329,473.50 is: 705,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,802 : 329,473.50 = 329,473.50 : x
  2. Step 2: Convert to fraction form
    153,802/329,473.50 = 329,473.50/x
  3. Step 3: Cross multiply
    153,802x = 329,473.50 × 329,473.50
  4. Step 4: Simplify right side
    153,802x = 108,552,787,202.25
  5. Step 5: Solve for x
    x = 108,552,787,202.25/153,802
  6. Step 6: Final answer
    x = 705,795.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.