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Finding the Third Proportional to 130,653 and 286,497

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Solution

The third proportional to 130,653 and 286,497 is: 628,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,653 : 286,497 = 286,497 : x
  2. Step 2: Convert to fraction form
    130,653/286,497 = 286,497/x
  3. Step 3: Cross multiply
    130,653x = 286,497 × 286,497
  4. Step 4: Simplify right side
    130,653x = 82,080,531,009
  5. Step 5: Solve for x
    x = 82,080,531,009/130,653
  6. Step 6: Final answer
    x = 628,233.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.