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Finding the Third Proportional to 130,406.34 and 278,036.16

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Solution

The third proportional to 130,406.34 and 278,036.16 is: 592,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,406.34 : 278,036.16 = 278,036.16 : x
  2. Step 2: Convert to fraction form
    130,406.34/278,036.16 = 278,036.16/x
  3. Step 3: Cross multiply
    130,406.34x = 278,036.16 × 278,036.16
  4. Step 4: Simplify right side
    130,406.34x = 77,304,104,182.27
  5. Step 5: Solve for x
    x = 77,304,104,182.27/130,406.34
  6. Step 6: Final answer
    x = 592,794.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.