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Finding the Third Proportional to 130,506 and 272,268

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Solution

The third proportional to 130,506 and 272,268 is: 568,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,506 : 272,268 = 272,268 : x
  2. Step 2: Convert to fraction form
    130,506/272,268 = 272,268/x
  3. Step 3: Cross multiply
    130,506x = 272,268 × 272,268
  4. Step 4: Simplify right side
    130,506x = 74,129,863,824
  5. Step 5: Solve for x
    x = 74,129,863,824/130,506
  6. Step 6: Final answer
    x = 568,018.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.