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Finding the Third Proportional to 184,426 and 292,767

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Solution

The third proportional to 184,426 and 292,767 is: 464,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,426 : 292,767 = 292,767 : x
  2. Step 2: Convert to fraction form
    184,426/292,767 = 292,767/x
  3. Step 3: Cross multiply
    184,426x = 292,767 × 292,767
  4. Step 4: Simplify right side
    184,426x = 85,712,516,289
  5. Step 5: Solve for x
    x = 85,712,516,289/184,426
  6. Step 6: Final answer
    x = 464,752.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.