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Finding the Third Proportional to 136,059 and 316,297.50

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Solution

The third proportional to 136,059 and 316,297.50 is: 735,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,059 : 316,297.50 = 316,297.50 : x
  2. Step 2: Convert to fraction form
    136,059/316,297.50 = 316,297.50/x
  3. Step 3: Cross multiply
    136,059x = 316,297.50 × 316,297.50
  4. Step 4: Simplify right side
    136,059x = 100,044,108,506.25
  5. Step 5: Solve for x
    x = 100,044,108,506.25/136,059
  6. Step 6: Final answer
    x = 735,299.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.