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Finding the Third Proportional to 187,807.50 and 442,896

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Solution

The third proportional to 187,807.50 and 442,896 is: 1,044,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,807.50 : 442,896 = 442,896 : x
  2. Step 2: Convert to fraction form
    187,807.50/442,896 = 442,896/x
  3. Step 3: Cross multiply
    187,807.50x = 442,896 × 442,896
  4. Step 4: Simplify right side
    187,807.50x = 196,156,866,816
  5. Step 5: Solve for x
    x = 196,156,866,816/187,807.50
  6. Step 6: Final answer
    x = 1,044,457.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.