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Finding the Third Proportional to 84,534 and 197,569.50

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Solution

The third proportional to 84,534 and 197,569.50 is: 461,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534 : 197,569.50 = 197,569.50 : x
  2. Step 2: Convert to fraction form
    84,534/197,569.50 = 197,569.50/x
  3. Step 3: Cross multiply
    84,534x = 197,569.50 × 197,569.50
  4. Step 4: Simplify right side
    84,534x = 39,033,707,330.25
  5. Step 5: Solve for x
    x = 39,033,707,330.25/84,534
  6. Step 6: Final answer
    x = 461,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.