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Finding the Third Proportional to 112,902 and 243,804

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Solution

The third proportional to 112,902 and 243,804 is: 526,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,902 : 243,804 = 243,804 : x
  2. Step 2: Convert to fraction form
    112,902/243,804 = 243,804/x
  3. Step 3: Cross multiply
    112,902x = 243,804 × 243,804
  4. Step 4: Simplify right side
    112,902x = 59,440,390,416
  5. Step 5: Solve for x
    x = 59,440,390,416/112,902
  6. Step 6: Final answer
    x = 526,477.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.