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Finding the Third Proportional to 112,604 and 243,252

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Solution

The third proportional to 112,604 and 243,252 is: 525,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,604 : 243,252 = 243,252 : x
  2. Step 2: Convert to fraction form
    112,604/243,252 = 243,252/x
  3. Step 3: Cross multiply
    112,604x = 243,252 × 243,252
  4. Step 4: Simplify right side
    112,604x = 59,171,535,504
  5. Step 5: Solve for x
    x = 59,171,535,504/112,604
  6. Step 6: Final answer
    x = 525,483.42

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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.