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Finding the Third Proportional to 158,926.50 and 240,010

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Solution

The third proportional to 158,926.50 and 240,010 is: 362,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,926.50 : 240,010 = 240,010 : x
  2. Step 2: Convert to fraction form
    158,926.50/240,010 = 240,010/x
  3. Step 3: Cross multiply
    158,926.50x = 240,010 × 240,010
  4. Step 4: Simplify right side
    158,926.50x = 57,604,800,100
  5. Step 5: Solve for x
    x = 57,604,800,100/158,926.50
  6. Step 6: Final answer
    x = 362,461.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.