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Finding the Third Proportional to 197,594 and 306,528

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Solution

The third proportional to 197,594 and 306,528 is: 475,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,594 : 306,528 = 306,528 : x
  2. Step 2: Convert to fraction form
    197,594/306,528 = 306,528/x
  3. Step 3: Cross multiply
    197,594x = 306,528 × 306,528
  4. Step 4: Simplify right side
    197,594x = 93,959,414,784
  5. Step 5: Solve for x
    x = 93,959,414,784/197,594
  6. Step 6: Final answer
    x = 475,517.55

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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.