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Finding the Third Proportional to 154,110 and 333,490

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Solution

The third proportional to 154,110 and 333,490 is: 721,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,110 : 333,490 = 333,490 : x
  2. Step 2: Convert to fraction form
    154,110/333,490 = 333,490/x
  3. Step 3: Cross multiply
    154,110x = 333,490 × 333,490
  4. Step 4: Simplify right side
    154,110x = 111,215,580,100
  5. Step 5: Solve for x
    x = 111,215,580,100/154,110
  6. Step 6: Final answer
    x = 721,663.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.