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Finding the Third Proportional to 152,289 and 334,953

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Solution

The third proportional to 152,289 and 334,953 is: 736,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,289 : 334,953 = 334,953 : x
  2. Step 2: Convert to fraction form
    152,289/334,953 = 334,953/x
  3. Step 3: Cross multiply
    152,289x = 334,953 × 334,953
  4. Step 4: Simplify right side
    152,289x = 112,193,512,209
  5. Step 5: Solve for x
    x = 112,193,512,209/152,289
  6. Step 6: Final answer
    x = 736,714.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.