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Finding the Third Proportional to 164,513 and 353,507

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Solution

The third proportional to 164,513 and 353,507 is: 759,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,513 : 353,507 = 353,507 : x
  2. Step 2: Convert to fraction form
    164,513/353,507 = 353,507/x
  3. Step 3: Cross multiply
    164,513x = 353,507 × 353,507
  4. Step 4: Simplify right side
    164,513x = 124,967,199,049
  5. Step 5: Solve for x
    x = 124,967,199,049/164,513
  6. Step 6: Final answer
    x = 759,618.99

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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.