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Finding the Third Proportional to 202,894.88 and 316,623.94

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Solution

The third proportional to 202,894.88 and 316,623.94 is: 494,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.88 : 316,623.94 = 316,623.94 : x
  2. Step 2: Convert to fraction form
    202,894.88/316,623.94 = 316,623.94/x
  3. Step 3: Cross multiply
    202,894.88x = 316,623.94 × 316,623.94
  4. Step 4: Simplify right side
    202,894.88x = 100,250,717,798.00
  5. Step 5: Solve for x
    x = 100,250,717,798.00/202,894.88
  6. Step 6: Final answer
    x = 494,101.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.