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Finding the Third Proportional to 130,023 and 206,316

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Solution

The third proportional to 130,023 and 206,316 is: 327,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,023 : 206,316 = 206,316 : x
  2. Step 2: Convert to fraction form
    130,023/206,316 = 206,316/x
  3. Step 3: Cross multiply
    130,023x = 206,316 × 206,316
  4. Step 4: Simplify right side
    130,023x = 42,566,291,856
  5. Step 5: Solve for x
    x = 42,566,291,856/130,023
  6. Step 6: Final answer
    x = 327,375.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.