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Finding the Third Proportional to 147,424 and 346,258

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Solution

The third proportional to 147,424 and 346,258 is: 813,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,424 : 346,258 = 346,258 : x
  2. Step 2: Convert to fraction form
    147,424/346,258 = 346,258/x
  3. Step 3: Cross multiply
    147,424x = 346,258 × 346,258
  4. Step 4: Simplify right side
    147,424x = 119,894,602,564
  5. Step 5: Solve for x
    x = 119,894,602,564/147,424
  6. Step 6: Final answer
    x = 813,263.80

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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.