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Finding the Third Proportional to 141,164 and 293,944

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Solution

The third proportional to 141,164 and 293,944 is: 612,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,164 : 293,944 = 293,944 : x
  2. Step 2: Convert to fraction form
    141,164/293,944 = 293,944/x
  3. Step 3: Cross multiply
    141,164x = 293,944 × 293,944
  4. Step 4: Simplify right side
    141,164x = 86,403,075,136
  5. Step 5: Solve for x
    x = 86,403,075,136/141,164
  6. Step 6: Final answer
    x = 612,075.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.