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Finding the Third Proportional to 243,966.75 and 380,706

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Solution

The third proportional to 243,966.75 and 380,706 is: 594,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,966.75 : 380,706 = 380,706 : x
  2. Step 2: Convert to fraction form
    243,966.75/380,706 = 380,706/x
  3. Step 3: Cross multiply
    243,966.75x = 380,706 × 380,706
  4. Step 4: Simplify right side
    243,966.75x = 144,937,058,436
  5. Step 5: Solve for x
    x = 144,937,058,436/243,966.75
  6. Step 6: Final answer
    x = 594,085.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.