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Finding the Third Proportional to 134,666 and 295,564

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Solution

The third proportional to 134,666 and 295,564 is: 648,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,666 : 295,564 = 295,564 : x
  2. Step 2: Convert to fraction form
    134,666/295,564 = 295,564/x
  3. Step 3: Cross multiply
    134,666x = 295,564 × 295,564
  4. Step 4: Simplify right side
    134,666x = 87,358,078,096
  5. Step 5: Solve for x
    x = 87,358,078,096/134,666
  6. Step 6: Final answer
    x = 648,701.81

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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.