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Finding the Third Proportional to 136,752 and 295,374

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Solution

The third proportional to 136,752 and 295,374 is: 637,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,752 : 295,374 = 295,374 : x
  2. Step 2: Convert to fraction form
    136,752/295,374 = 295,374/x
  3. Step 3: Cross multiply
    136,752x = 295,374 × 295,374
  4. Step 4: Simplify right side
    136,752x = 87,245,799,876
  5. Step 5: Solve for x
    x = 87,245,799,876/136,752
  6. Step 6: Final answer
    x = 637,985.55

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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.