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Finding the Third Proportional to 141,402 and 304,944

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Solution

The third proportional to 141,402 and 304,944 is: 657,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,402 : 304,944 = 304,944 : x
  2. Step 2: Convert to fraction form
    141,402/304,944 = 304,944/x
  3. Step 3: Cross multiply
    141,402x = 304,944 × 304,944
  4. Step 4: Simplify right side
    141,402x = 92,990,843,136
  5. Step 5: Solve for x
    x = 92,990,843,136/141,402
  6. Step 6: Final answer
    x = 657,634.57

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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.