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Finding the Third Proportional to 231,052.50 and 343,190.25

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Solution

The third proportional to 231,052.50 and 343,190.25 is: 509,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,052.50 : 343,190.25 = 343,190.25 : x
  2. Step 2: Convert to fraction form
    231,052.50/343,190.25 = 343,190.25/x
  3. Step 3: Cross multiply
    231,052.50x = 343,190.25 × 343,190.25
  4. Step 4: Simplify right side
    231,052.50x = 117,779,547,695.06
  5. Step 5: Solve for x
    x = 117,779,547,695.06/231,052.50
  6. Step 6: Final answer
    x = 509,752.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.