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Finding the Third Proportional to 208,534.50 and 316,801.13

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Solution

The third proportional to 208,534.50 and 316,801.13 is: 481,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.50 : 316,801.13 = 316,801.13 : x
  2. Step 2: Convert to fraction form
    208,534.50/316,801.13 = 316,801.13/x
  3. Step 3: Cross multiply
    208,534.50x = 316,801.13 × 316,801.13
  4. Step 4: Simplify right side
    208,534.50x = 100,362,952,801.27
  5. Step 5: Solve for x
    x = 100,362,952,801.27/208,534.50
  6. Step 6: Final answer
    x = 481,277.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.