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Finding the Third Proportional to 153,107 and 335,518

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Solution

The third proportional to 153,107 and 335,518 is: 735,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107 : 335,518 = 335,518 : x
  2. Step 2: Convert to fraction form
    153,107/335,518 = 335,518/x
  3. Step 3: Cross multiply
    153,107x = 335,518 × 335,518
  4. Step 4: Simplify right side
    153,107x = 112,572,328,324
  5. Step 5: Solve for x
    x = 112,572,328,324/153,107
  6. Step 6: Final answer
    x = 735,252.66

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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.