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Finding the Third Proportional to 151,308.75 and 212,056.50

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Solution

The third proportional to 151,308.75 and 212,056.50 is: 297,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,308.75 : 212,056.50 = 212,056.50 : x
  2. Step 2: Convert to fraction form
    151,308.75/212,056.50 = 212,056.50/x
  3. Step 3: Cross multiply
    151,308.75x = 212,056.50 × 212,056.50
  4. Step 4: Simplify right side
    151,308.75x = 44,967,959,192.25
  5. Step 5: Solve for x
    x = 44,967,959,192.25/151,308.75
  6. Step 6: Final answer
    x = 297,193.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.