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Finding the Third Proportional to 141,752 and 289,984

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Solution

The third proportional to 141,752 and 289,984 is: 593,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,752 : 289,984 = 289,984 : x
  2. Step 2: Convert to fraction form
    141,752/289,984 = 289,984/x
  3. Step 3: Cross multiply
    141,752x = 289,984 × 289,984
  4. Step 4: Simplify right side
    141,752x = 84,090,720,256
  5. Step 5: Solve for x
    x = 84,090,720,256/141,752
  6. Step 6: Final answer
    x = 593,224.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.