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Finding the Third Proportional to 197,712 and 433,056

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Solution

The third proportional to 197,712 and 433,056 is: 948,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,712 : 433,056 = 433,056 : x
  2. Step 2: Convert to fraction form
    197,712/433,056 = 433,056/x
  3. Step 3: Cross multiply
    197,712x = 433,056 × 433,056
  4. Step 4: Simplify right side
    197,712x = 187,537,499,136
  5. Step 5: Solve for x
    x = 187,537,499,136/197,712
  6. Step 6: Final answer
    x = 948,538.78

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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.