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Finding the Third Proportional to 112,566 and 237,804

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Solution

The third proportional to 112,566 and 237,804 is: 502,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,566 : 237,804 = 237,804 : x
  2. Step 2: Convert to fraction form
    112,566/237,804 = 237,804/x
  3. Step 3: Cross multiply
    112,566x = 237,804 × 237,804
  4. Step 4: Simplify right side
    112,566x = 56,550,742,416
  5. Step 5: Solve for x
    x = 56,550,742,416/112,566
  6. Step 6: Final answer
    x = 502,378.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.