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Finding the Third Proportional to 146,735 and 233,416

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Solution

The third proportional to 146,735 and 233,416 is: 371,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,735 : 233,416 = 233,416 : x
  2. Step 2: Convert to fraction form
    146,735/233,416 = 233,416/x
  3. Step 3: Cross multiply
    146,735x = 233,416 × 233,416
  4. Step 4: Simplify right side
    146,735x = 54,483,029,056
  5. Step 5: Solve for x
    x = 54,483,029,056/146,735
  6. Step 6: Final answer
    x = 371,302.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.