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Finding the Third Proportional to 127,413 and 197,680.50

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Solution

The third proportional to 127,413 and 197,680.50 is: 306,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,413 : 197,680.50 = 197,680.50 : x
  2. Step 2: Convert to fraction form
    127,413/197,680.50 = 197,680.50/x
  3. Step 3: Cross multiply
    127,413x = 197,680.50 × 197,680.50
  4. Step 4: Simplify right side
    127,413x = 39,077,580,080.25
  5. Step 5: Solve for x
    x = 39,077,580,080.25/127,413
  6. Step 6: Final answer
    x = 306,700.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.