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Finding the Third Proportional to 111,471 and 242,623.50

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Solution

The third proportional to 111,471 and 242,623.50 is: 528,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,471 : 242,623.50 = 242,623.50 : x
  2. Step 2: Convert to fraction form
    111,471/242,623.50 = 242,623.50/x
  3. Step 3: Cross multiply
    111,471x = 242,623.50 × 242,623.50
  4. Step 4: Simplify right side
    111,471x = 58,866,162,752.25
  5. Step 5: Solve for x
    x = 58,866,162,752.25/111,471
  6. Step 6: Final answer
    x = 528,085.00

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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.