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Finding the Third Proportional to 197,808 and 292,365

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Solution

The third proportional to 197,808 and 292,365 is: 432,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,808 : 292,365 = 292,365 : x
  2. Step 2: Convert to fraction form
    197,808/292,365 = 292,365/x
  3. Step 3: Cross multiply
    197,808x = 292,365 × 292,365
  4. Step 4: Simplify right side
    197,808x = 85,477,293,225
  5. Step 5: Solve for x
    x = 85,477,293,225/197,808
  6. Step 6: Final answer
    x = 432,122.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.