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Finding the Third Proportional to 176,557.50 and 384,643.13

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Solution

The third proportional to 176,557.50 and 384,643.13 is: 837,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,557.50 : 384,643.13 = 384,643.13 : x
  2. Step 2: Convert to fraction form
    176,557.50/384,643.13 = 384,643.13/x
  3. Step 3: Cross multiply
    176,557.50x = 384,643.13 × 384,643.13
  4. Step 4: Simplify right side
    176,557.50x = 147,950,333,609.77
  5. Step 5: Solve for x
    x = 147,950,333,609.77/176,557.50
  6. Step 6: Final answer
    x = 837,972.52

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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.