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Finding the Third Proportional to 178,938 and 390,030.75

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Solution

The third proportional to 178,938 and 390,030.75 is: 850,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,938 : 390,030.75 = 390,030.75 : x
  2. Step 2: Convert to fraction form
    178,938/390,030.75 = 390,030.75/x
  3. Step 3: Cross multiply
    178,938x = 390,030.75 × 390,030.75
  4. Step 4: Simplify right side
    178,938x = 152,123,985,945.56
  5. Step 5: Solve for x
    x = 152,123,985,945.56/178,938
  6. Step 6: Final answer
    x = 850,149.14

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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.