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Finding the Third Proportional to 174,823.31 and 362,085.19

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Solution

The third proportional to 174,823.31 and 362,085.19 is: 749,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,823.31 : 362,085.19 = 362,085.19 : x
  2. Step 2: Convert to fraction form
    174,823.31/362,085.19 = 362,085.19/x
  3. Step 3: Cross multiply
    174,823.31x = 362,085.19 × 362,085.19
  4. Step 4: Simplify right side
    174,823.31x = 131,105,683,006.91
  5. Step 5: Solve for x
    x = 131,105,683,006.91/174,823.31
  6. Step 6: Final answer
    x = 749,932.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.