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Finding the Third Proportional to 199,044 and 292,692

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Solution

The third proportional to 199,044 and 292,692 is: 430,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,044 : 292,692 = 292,692 : x
  2. Step 2: Convert to fraction form
    199,044/292,692 = 292,692/x
  3. Step 3: Cross multiply
    199,044x = 292,692 × 292,692
  4. Step 4: Simplify right side
    199,044x = 85,668,606,864
  5. Step 5: Solve for x
    x = 85,668,606,864/199,044
  6. Step 6: Final answer
    x = 430,400.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.