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Finding the Third Proportional to 242,158.50 and 377,955

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Solution

The third proportional to 242,158.50 and 377,955 is: 589,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,158.50 : 377,955 = 377,955 : x
  2. Step 2: Convert to fraction form
    242,158.50/377,955 = 377,955/x
  3. Step 3: Cross multiply
    242,158.50x = 377,955 × 377,955
  4. Step 4: Simplify right side
    242,158.50x = 142,849,982,025
  5. Step 5: Solve for x
    x = 142,849,982,025/242,158.50
  6. Step 6: Final answer
    x = 589,902.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.