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Finding the Third Proportional to 184,730 and 297,495

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Solution

The third proportional to 184,730 and 297,495 is: 479,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,730 : 297,495 = 297,495 : x
  2. Step 2: Convert to fraction form
    184,730/297,495 = 297,495/x
  3. Step 3: Cross multiply
    184,730x = 297,495 × 297,495
  4. Step 4: Simplify right side
    184,730x = 88,503,275,025
  5. Step 5: Solve for x
    x = 88,503,275,025/184,730
  6. Step 6: Final answer
    x = 479,095.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.