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Finding the Third Proportional to 208,514.50 and 455,261

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Solution

The third proportional to 208,514.50 and 455,261 is: 993,996.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.50 : 455,261 = 455,261 : x
  2. Step 2: Convert to fraction form
    208,514.50/455,261 = 455,261/x
  3. Step 3: Cross multiply
    208,514.50x = 455,261 × 455,261
  4. Step 4: Simplify right side
    208,514.50x = 207,262,578,121
  5. Step 5: Solve for x
    x = 207,262,578,121/208,514.50
  6. Step 6: Final answer
    x = 993,996.00

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