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Finding the Third Proportional to 156,362 and 341,403

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Solution

The third proportional to 156,362 and 341,403 is: 745,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,362 : 341,403 = 341,403 : x
  2. Step 2: Convert to fraction form
    156,362/341,403 = 341,403/x
  3. Step 3: Cross multiply
    156,362x = 341,403 × 341,403
  4. Step 4: Simplify right side
    156,362x = 116,556,008,409
  5. Step 5: Solve for x
    x = 116,556,008,409/156,362
  6. Step 6: Final answer
    x = 745,424.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.