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Finding the Third Proportional to 153,422 and 334,735

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Solution

The third proportional to 153,422 and 334,735 is: 730,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,422 : 334,735 = 334,735 : x
  2. Step 2: Convert to fraction form
    153,422/334,735 = 334,735/x
  3. Step 3: Cross multiply
    153,422x = 334,735 × 334,735
  4. Step 4: Simplify right side
    153,422x = 112,047,520,225
  5. Step 5: Solve for x
    x = 112,047,520,225/153,422
  6. Step 6: Final answer
    x = 730,322.38

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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.