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Finding the Third Proportional to 148,852.69 and 238,588.03

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Solution

The third proportional to 148,852.69 and 238,588.03 is: 382,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,852.69 : 238,588.03 = 238,588.03 : x
  2. Step 2: Convert to fraction form
    148,852.69/238,588.03 = 238,588.03/x
  3. Step 3: Cross multiply
    148,852.69x = 238,588.03 × 238,588.03
  4. Step 4: Simplify right side
    148,852.69x = 56,924,248,655.75
  5. Step 5: Solve for x
    x = 56,924,248,655.75/148,852.69
  6. Step 6: Final answer
    x = 382,420.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.