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Finding the Third Proportional to 152,674 and 210,963

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Solution

The third proportional to 152,674 and 210,963 is: 291,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,674 : 210,963 = 210,963 : x
  2. Step 2: Convert to fraction form
    152,674/210,963 = 210,963/x
  3. Step 3: Cross multiply
    152,674x = 210,963 × 210,963
  4. Step 4: Simplify right side
    152,674x = 44,505,387,369
  5. Step 5: Solve for x
    x = 44,505,387,369/152,674
  6. Step 6: Final answer
    x = 291,506.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.