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Finding the Third Proportional to 231,282 and 264,497.06

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Solution

The third proportional to 231,282 and 264,497.06 is: 302,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,282 : 264,497.06 = 264,497.06 : x
  2. Step 2: Convert to fraction form
    231,282/264,497.06 = 264,497.06/x
  3. Step 3: Cross multiply
    231,282x = 264,497.06 × 264,497.06
  4. Step 4: Simplify right side
    231,282x = 69,958,696,071.13
  5. Step 5: Solve for x
    x = 69,958,696,071.13/231,282
  6. Step 6: Final answer
    x = 302,482.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.