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Finding the Third Proportional to 133,315.88 and 314,700.19

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Solution

The third proportional to 133,315.88 and 314,700.19 is: 742,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,315.88 : 314,700.19 = 314,700.19 : x
  2. Step 2: Convert to fraction form
    133,315.88/314,700.19 = 314,700.19/x
  3. Step 3: Cross multiply
    133,315.88x = 314,700.19 × 314,700.19
  4. Step 4: Simplify right side
    133,315.88x = 99,036,208,012.54
  5. Step 5: Solve for x
    x = 99,036,208,012.54/133,315.88
  6. Step 6: Final answer
    x = 742,868.83

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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.