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Finding the Third Proportional to 197,495 and 282,220

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Solution

The third proportional to 197,495 and 282,220 is: 403,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,495 : 282,220 = 282,220 : x
  2. Step 2: Convert to fraction form
    197,495/282,220 = 282,220/x
  3. Step 3: Cross multiply
    197,495x = 282,220 × 282,220
  4. Step 4: Simplify right side
    197,495x = 79,648,128,400
  5. Step 5: Solve for x
    x = 79,648,128,400/197,495
  6. Step 6: Final answer
    x = 403,291.87

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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.