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Finding the Third Proportional to 147,406 and 346,513

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Solution

The third proportional to 147,406 and 346,513 is: 814,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,406 : 346,513 = 346,513 : x
  2. Step 2: Convert to fraction form
    147,406/346,513 = 346,513/x
  3. Step 3: Cross multiply
    147,406x = 346,513 × 346,513
  4. Step 4: Simplify right side
    147,406x = 120,071,259,169
  5. Step 5: Solve for x
    x = 120,071,259,169/147,406
  6. Step 6: Final answer
    x = 814,561.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.