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Finding the Third Proportional to 131,770.50 and 282,129

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Solution

The third proportional to 131,770.50 and 282,129 is: 604,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,770.50 : 282,129 = 282,129 : x
  2. Step 2: Convert to fraction form
    131,770.50/282,129 = 282,129/x
  3. Step 3: Cross multiply
    131,770.50x = 282,129 × 282,129
  4. Step 4: Simplify right side
    131,770.50x = 79,596,772,641
  5. Step 5: Solve for x
    x = 79,596,772,641/131,770.50
  6. Step 6: Final answer
    x = 604,056.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.