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Finding the Third Proportional to 197,127 and 431,569.50

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Solution

The third proportional to 197,127 and 431,569.50 is: 944,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,127 : 431,569.50 = 431,569.50 : x
  2. Step 2: Convert to fraction form
    197,127/431,569.50 = 431,569.50/x
  3. Step 3: Cross multiply
    197,127x = 431,569.50 × 431,569.50
  4. Step 4: Simplify right side
    197,127x = 186,252,233,330.25
  5. Step 5: Solve for x
    x = 186,252,233,330.25/197,127
  6. Step 6: Final answer
    x = 944,833.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.