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Finding the Third Proportional to 197,025.50 and 312,032.50

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Solution

The third proportional to 197,025.50 and 312,032.50 is: 494,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,025.50 : 312,032.50 = 312,032.50 : x
  2. Step 2: Convert to fraction form
    197,025.50/312,032.50 = 312,032.50/x
  3. Step 3: Cross multiply
    197,025.50x = 312,032.50 × 312,032.50
  4. Step 4: Simplify right side
    197,025.50x = 97,364,281,056.25
  5. Step 5: Solve for x
    x = 97,364,281,056.25/197,025.50
  6. Step 6: Final answer
    x = 494,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.