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Finding the Third Proportional to 201,564 and 306,342

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Solution

The third proportional to 201,564 and 306,342 is: 465,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,564 : 306,342 = 306,342 : x
  2. Step 2: Convert to fraction form
    201,564/306,342 = 306,342/x
  3. Step 3: Cross multiply
    201,564x = 306,342 × 306,342
  4. Step 4: Simplify right side
    201,564x = 93,845,420,964
  5. Step 5: Solve for x
    x = 93,845,420,964/201,564
  6. Step 6: Final answer
    x = 465,586.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.