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Finding the Third Proportional to 199,044 and 292,653

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Solution

The third proportional to 199,044 and 292,653 is: 430,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,044 : 292,653 = 292,653 : x
  2. Step 2: Convert to fraction form
    199,044/292,653 = 292,653/x
  3. Step 3: Cross multiply
    199,044x = 292,653 × 292,653
  4. Step 4: Simplify right side
    199,044x = 85,645,778,409
  5. Step 5: Solve for x
    x = 85,645,778,409/199,044
  6. Step 6: Final answer
    x = 430,285.66

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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.