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Finding the Third Proportional to 141,349 and 304,841

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Solution

The third proportional to 141,349 and 304,841 is: 657,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,349 : 304,841 = 304,841 : x
  2. Step 2: Convert to fraction form
    141,349/304,841 = 304,841/x
  3. Step 3: Cross multiply
    141,349x = 304,841 × 304,841
  4. Step 4: Simplify right side
    141,349x = 92,928,035,281
  5. Step 5: Solve for x
    x = 92,928,035,281/141,349
  6. Step 6: Final answer
    x = 657,436.81

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Why These Related Problems?

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