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Finding the Third Proportional to 130,294.13 and 206,483.06

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Solution

The third proportional to 130,294.13 and 206,483.06 is: 327,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,294.13 : 206,483.06 = 206,483.06 : x
  2. Step 2: Convert to fraction form
    130,294.13/206,483.06 = 206,483.06/x
  3. Step 3: Cross multiply
    130,294.13x = 206,483.06 × 206,483.06
  4. Step 4: Simplify right side
    130,294.13x = 42,635,255,099.38
  5. Step 5: Solve for x
    x = 42,635,255,099.38/130,294.13
  6. Step 6: Final answer
    x = 327,223.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.