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Finding the Third Proportional to 134,982 and 295,389

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Solution

The third proportional to 134,982 and 295,389 is: 646,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,982 : 295,389 = 295,389 : x
  2. Step 2: Convert to fraction form
    134,982/295,389 = 295,389/x
  3. Step 3: Cross multiply
    134,982x = 295,389 × 295,389
  4. Step 4: Simplify right side
    134,982x = 87,254,661,321
  5. Step 5: Solve for x
    x = 87,254,661,321/134,982
  6. Step 6: Final answer
    x = 646,417.01

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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.