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Finding the Third Proportional to 208,156.50 and 297,445.50

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Solution

The third proportional to 208,156.50 and 297,445.50 is: 425,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.50 : 297,445.50 = 297,445.50 : x
  2. Step 2: Convert to fraction form
    208,156.50/297,445.50 = 297,445.50/x
  3. Step 3: Cross multiply
    208,156.50x = 297,445.50 × 297,445.50
  4. Step 4: Simplify right side
    208,156.50x = 88,473,825,470.25
  5. Step 5: Solve for x
    x = 88,473,825,470.25/208,156.50
  6. Step 6: Final answer
    x = 425,035.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.