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Finding the Third Proportional to 112,473 and 243,306

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Solution

The third proportional to 112,473 and 243,306 is: 526,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,473 : 243,306 = 243,306 : x
  2. Step 2: Convert to fraction form
    112,473/243,306 = 243,306/x
  3. Step 3: Cross multiply
    112,473x = 243,306 × 243,306
  4. Step 4: Simplify right side
    112,473x = 59,197,809,636
  5. Step 5: Solve for x
    x = 59,197,809,636/112,473
  6. Step 6: Final answer
    x = 526,329.07

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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.