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Finding the Third Proportional to 197,562 and 282,312

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Solution

The third proportional to 197,562 and 282,312 is: 403,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,562 : 282,312 = 282,312 : x
  2. Step 2: Convert to fraction form
    197,562/282,312 = 282,312/x
  3. Step 3: Cross multiply
    197,562x = 282,312 × 282,312
  4. Step 4: Simplify right side
    197,562x = 79,700,065,344
  5. Step 5: Solve for x
    x = 79,700,065,344/197,562
  6. Step 6: Final answer
    x = 403,417.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.