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Finding the Third Proportional to 105,032 and 230,473

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Solution

The third proportional to 105,032 and 230,473 is: 505,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032 : 230,473 = 230,473 : x
  2. Step 2: Convert to fraction form
    105,032/230,473 = 230,473/x
  3. Step 3: Cross multiply
    105,032x = 230,473 × 230,473
  4. Step 4: Simplify right side
    105,032x = 53,117,803,729
  5. Step 5: Solve for x
    x = 53,117,803,729/105,032
  6. Step 6: Final answer
    x = 505,729.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.