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Finding the Third Proportional to 243,580.50 and 382,638

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Solution

The third proportional to 243,580.50 and 382,638 is: 601,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,580.50 : 382,638 = 382,638 : x
  2. Step 2: Convert to fraction form
    243,580.50/382,638 = 382,638/x
  3. Step 3: Cross multiply
    243,580.50x = 382,638 × 382,638
  4. Step 4: Simplify right side
    243,580.50x = 146,411,839,044
  5. Step 5: Solve for x
    x = 146,411,839,044/243,580.50
  6. Step 6: Final answer
    x = 601,081.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.