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Finding the Third Proportional to 106,637 and 233,362

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Solution

The third proportional to 106,637 and 233,362 is: 510,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,637 : 233,362 = 233,362 : x
  2. Step 2: Convert to fraction form
    106,637/233,362 = 233,362/x
  3. Step 3: Cross multiply
    106,637x = 233,362 × 233,362
  4. Step 4: Simplify right side
    106,637x = 54,457,823,044
  5. Step 5: Solve for x
    x = 54,457,823,044/106,637
  6. Step 6: Final answer
    x = 510,684.13

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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.