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Finding the Third Proportional to 208,502.54 and 455,237.40

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Solution

The third proportional to 208,502.54 and 455,237.40 is: 993,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,502.54 : 455,237.40 = 455,237.40 : x
  2. Step 2: Convert to fraction form
    208,502.54/455,237.40 = 455,237.40/x
  3. Step 3: Cross multiply
    208,502.54x = 455,237.40 × 455,237.40
  4. Step 4: Simplify right side
    208,502.54x = 207,241,092,492.69
  5. Step 5: Solve for x
    x = 207,241,092,492.69/208,502.54
  6. Step 6: Final answer
    x = 993,949.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.