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Finding the Third Proportional to 147,402 and 346,484

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Solution

The third proportional to 147,402 and 346,484 is: 814,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,402 : 346,484 = 346,484 : x
  2. Step 2: Convert to fraction form
    147,402/346,484 = 346,484/x
  3. Step 3: Cross multiply
    147,402x = 346,484 × 346,484
  4. Step 4: Simplify right side
    147,402x = 120,051,162,256
  5. Step 5: Solve for x
    x = 120,051,162,256/147,402
  6. Step 6: Final answer
    x = 814,447.31

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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.