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Finding the Third Proportional to 197,964 and 282,062.25

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Solution

The third proportional to 197,964 and 282,062.25 is: 401,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,964 : 282,062.25 = 282,062.25 : x
  2. Step 2: Convert to fraction form
    197,964/282,062.25 = 282,062.25/x
  3. Step 3: Cross multiply
    197,964x = 282,062.25 × 282,062.25
  4. Step 4: Simplify right side
    197,964x = 79,559,112,875.06
  5. Step 5: Solve for x
    x = 79,559,112,875.06/197,964
  6. Step 6: Final answer
    x = 401,886.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.