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Finding the Third Proportional to 155,308 and 336,004

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Solution

The third proportional to 155,308 and 336,004 is: 726,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,308 : 336,004 = 336,004 : x
  2. Step 2: Convert to fraction form
    155,308/336,004 = 336,004/x
  3. Step 3: Cross multiply
    155,308x = 336,004 × 336,004
  4. Step 4: Simplify right side
    155,308x = 112,898,688,016
  5. Step 5: Solve for x
    x = 112,898,688,016/155,308
  6. Step 6: Final answer
    x = 726,934.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.