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Finding the Third Proportional to 141,094.41 and 304,230.94

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Solution

The third proportional to 141,094.41 and 304,230.94 is: 655,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094.41 : 304,230.94 = 304,230.94 : x
  2. Step 2: Convert to fraction form
    141,094.41/304,230.94 = 304,230.94/x
  3. Step 3: Cross multiply
    141,094.41x = 304,230.94 × 304,230.94
  4. Step 4: Simplify right side
    141,094.41x = 92,556,463,332.13
  5. Step 5: Solve for x
    x = 92,556,463,332.13/141,094.41
  6. Step 6: Final answer
    x = 655,989.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.