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Finding the Third Proportional to 130,036 and 278,504

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Solution

The third proportional to 130,036 and 278,504 is: 596,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,036 : 278,504 = 278,504 : x
  2. Step 2: Convert to fraction form
    130,036/278,504 = 278,504/x
  3. Step 3: Cross multiply
    130,036x = 278,504 × 278,504
  4. Step 4: Simplify right side
    130,036x = 77,564,478,016
  5. Step 5: Solve for x
    x = 77,564,478,016/130,036
  6. Step 6: Final answer
    x = 596,484.65

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Why These Related Problems?

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