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Finding the Third Proportional to 245,830 and 536,156

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Solution

The third proportional to 245,830 and 536,156 is: 1,169,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,830 : 536,156 = 536,156 : x
  2. Step 2: Convert to fraction form
    245,830/536,156 = 536,156/x
  3. Step 3: Cross multiply
    245,830x = 536,156 × 536,156
  4. Step 4: Simplify right side
    245,830x = 287,463,256,336
  5. Step 5: Solve for x
    x = 287,463,256,336/245,830
  6. Step 6: Final answer
    x = 1,169,357.92

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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.