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Finding the Third Proportional to 201,528 and 434,160

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Solution

The third proportional to 201,528 and 434,160 is: 935,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,528 : 434,160 = 434,160 : x
  2. Step 2: Convert to fraction form
    201,528/434,160 = 434,160/x
  3. Step 3: Cross multiply
    201,528x = 434,160 × 434,160
  4. Step 4: Simplify right side
    201,528x = 188,494,905,600
  5. Step 5: Solve for x
    x = 188,494,905,600/201,528
  6. Step 6: Final answer
    x = 935,328.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.