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Finding the Third Proportional to 245,834 and 536,160

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Solution

The third proportional to 245,834 and 536,160 is: 1,169,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,834 : 536,160 = 536,160 : x
  2. Step 2: Convert to fraction form
    245,834/536,160 = 536,160/x
  3. Step 3: Cross multiply
    245,834x = 536,160 × 536,160
  4. Step 4: Simplify right side
    245,834x = 287,467,545,600
  5. Step 5: Solve for x
    x = 287,467,545,600/245,834
  6. Step 6: Final answer
    x = 1,169,356.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.