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Finding the Third Proportional to 187,300.50 and 407,862

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Solution

The third proportional to 187,300.50 and 407,862 is: 888,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,300.50 : 407,862 = 407,862 : x
  2. Step 2: Convert to fraction form
    187,300.50/407,862 = 407,862/x
  3. Step 3: Cross multiply
    187,300.50x = 407,862 × 407,862
  4. Step 4: Simplify right side
    187,300.50x = 166,351,411,044
  5. Step 5: Solve for x
    x = 166,351,411,044/187,300.50
  6. Step 6: Final answer
    x = 888,152.52

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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.