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Finding the Third Proportional to 136,768 and 295,402

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Solution

The third proportional to 136,768 and 295,402 is: 638,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,768 : 295,402 = 295,402 : x
  2. Step 2: Convert to fraction form
    136,768/295,402 = 295,402/x
  3. Step 3: Cross multiply
    136,768x = 295,402 × 295,402
  4. Step 4: Simplify right side
    136,768x = 87,262,341,604
  5. Step 5: Solve for x
    x = 87,262,341,604/136,768
  6. Step 6: Final answer
    x = 638,031.86

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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.