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Finding the Third Proportional to 193,590 and 284,036.63

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Solution

The third proportional to 193,590 and 284,036.63 is: 416,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590 : 284,036.63 = 284,036.63 : x
  2. Step 2: Convert to fraction form
    193,590/284,036.63 = 284,036.63/x
  3. Step 3: Cross multiply
    193,590x = 284,036.63 × 284,036.63
  4. Step 4: Simplify right side
    193,590x = 80,676,804,341.39
  5. Step 5: Solve for x
    x = 80,676,804,341.39/193,590
  6. Step 6: Final answer
    x = 416,740.56

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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.