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Finding the Third Proportional to 130,904 and 282,484

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Solution

The third proportional to 130,904 and 282,484 is: 609,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,904 : 282,484 = 282,484 : x
  2. Step 2: Convert to fraction form
    130,904/282,484 = 282,484/x
  3. Step 3: Cross multiply
    130,904x = 282,484 × 282,484
  4. Step 4: Simplify right side
    130,904x = 79,797,210,256
  5. Step 5: Solve for x
    x = 79,797,210,256/130,904
  6. Step 6: Final answer
    x = 609,585.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.