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Finding the Third Proportional to 184,397.63 and 284,783.63

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Solution

The third proportional to 184,397.63 and 284,783.63 is: 439,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,397.63 : 284,783.63 = 284,783.63 : x
  2. Step 2: Convert to fraction form
    184,397.63/284,783.63 = 284,783.63/x
  3. Step 3: Cross multiply
    184,397.63x = 284,783.63 × 284,783.63
  4. Step 4: Simplify right side
    184,397.63x = 81,101,713,068.14
  5. Step 5: Solve for x
    x = 81,101,713,068.14/184,397.63
  6. Step 6: Final answer
    x = 439,819.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.