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Finding the Third Proportional to 128,772 and 278,982

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Solution

The third proportional to 128,772 and 278,982 is: 604,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,772 : 278,982 = 278,982 : x
  2. Step 2: Convert to fraction form
    128,772/278,982 = 278,982/x
  3. Step 3: Cross multiply
    128,772x = 278,982 × 278,982
  4. Step 4: Simplify right side
    128,772x = 77,830,956,324
  5. Step 5: Solve for x
    x = 77,830,956,324/128,772
  6. Step 6: Final answer
    x = 604,409.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.