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Finding the Third Proportional to 130,844 and 282,412

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Solution

The third proportional to 130,844 and 282,412 is: 609,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,844 : 282,412 = 282,412 : x
  2. Step 2: Convert to fraction form
    130,844/282,412 = 282,412/x
  3. Step 3: Cross multiply
    130,844x = 282,412 × 282,412
  4. Step 4: Simplify right side
    130,844x = 79,756,537,744
  5. Step 5: Solve for x
    x = 79,756,537,744/130,844
  6. Step 6: Final answer
    x = 609,554.41

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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.