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Finding the Third Proportional to 164,513 and 341,473

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Solution

The third proportional to 164,513 and 341,473 is: 708,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,513 : 341,473 = 341,473 : x
  2. Step 2: Convert to fraction form
    164,513/341,473 = 341,473/x
  3. Step 3: Cross multiply
    164,513x = 341,473 × 341,473
  4. Step 4: Simplify right side
    164,513x = 116,603,809,729
  5. Step 5: Solve for x
    x = 116,603,809,729/164,513
  6. Step 6: Final answer
    x = 708,781.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.