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Finding the Third Proportional to 152,024 and 351,946

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Solution

The third proportional to 152,024 and 351,946 is: 814,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024 : 351,946 = 351,946 : x
  2. Step 2: Convert to fraction form
    152,024/351,946 = 351,946/x
  3. Step 3: Cross multiply
    152,024x = 351,946 × 351,946
  4. Step 4: Simplify right side
    152,024x = 123,865,986,916
  5. Step 5: Solve for x
    x = 123,865,986,916/152,024
  6. Step 6: Final answer
    x = 814,779.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.