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Finding the Third Proportional to 153,194 and 334,900

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Solution

The third proportional to 153,194 and 334,900 is: 732,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194 : 334,900 = 334,900 : x
  2. Step 2: Convert to fraction form
    153,194/334,900 = 334,900/x
  3. Step 3: Cross multiply
    153,194x = 334,900 × 334,900
  4. Step 4: Simplify right side
    153,194x = 112,158,010,000
  5. Step 5: Solve for x
    x = 112,158,010,000/153,194
  6. Step 6: Final answer
    x = 732,130.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.