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Finding the Third Proportional to 142,911 and 304,799.63

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Solution

The third proportional to 142,911 and 304,799.63 is: 650,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,911 : 304,799.63 = 304,799.63 : x
  2. Step 2: Convert to fraction form
    142,911/304,799.63 = 304,799.63/x
  3. Step 3: Cross multiply
    142,911x = 304,799.63 × 304,799.63
  4. Step 4: Simplify right side
    142,911x = 92,902,811,400.14
  5. Step 5: Solve for x
    x = 92,902,811,400.14/142,911
  6. Step 6: Final answer
    x = 650,074.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.