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Finding the Third Proportional to 245,826 and 536,148

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Solution

The third proportional to 245,826 and 536,148 is: 1,169,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,826 : 536,148 = 536,148 : x
  2. Step 2: Convert to fraction form
    245,826/536,148 = 536,148/x
  3. Step 3: Cross multiply
    245,826x = 536,148 × 536,148
  4. Step 4: Simplify right side
    245,826x = 287,454,677,904
  5. Step 5: Solve for x
    x = 287,454,677,904/245,826
  6. Step 6: Final answer
    x = 1,169,342.05

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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.