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Finding the Third Proportional to 141,124.75 and 304,407.50

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Solution

The third proportional to 141,124.75 and 304,407.50 is: 656,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,124.75 : 304,407.50 = 304,407.50 : x
  2. Step 2: Convert to fraction form
    141,124.75/304,407.50 = 304,407.50/x
  3. Step 3: Cross multiply
    141,124.75x = 304,407.50 × 304,407.50
  4. Step 4: Simplify right side
    141,124.75x = 92,663,926,056.25
  5. Step 5: Solve for x
    x = 92,663,926,056.25/141,124.75
  6. Step 6: Final answer
    x = 656,610.03

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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.