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Finding the Third Proportional to 199,092 and 429,854

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Solution

The third proportional to 199,092 and 429,854 is: 928,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092 : 429,854 = 429,854 : x
  2. Step 2: Convert to fraction form
    199,092/429,854 = 429,854/x
  3. Step 3: Cross multiply
    199,092x = 429,854 × 429,854
  4. Step 4: Simplify right side
    199,092x = 184,774,461,316
  5. Step 5: Solve for x
    x = 184,774,461,316/199,092
  6. Step 6: Final answer
    x = 928,085.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.