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Finding the Third Proportional to 153,051.88 and 357,401.31

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Solution

The third proportional to 153,051.88 and 357,401.31 is: 834,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,051.88 : 357,401.31 = 357,401.31 : x
  2. Step 2: Convert to fraction form
    153,051.88/357,401.31 = 357,401.31/x
  3. Step 3: Cross multiply
    153,051.88x = 357,401.31 × 357,401.31
  4. Step 4: Simplify right side
    153,051.88x = 127,735,698,176.72
  5. Step 5: Solve for x
    x = 127,735,698,176.72/153,051.88
  6. Step 6: Final answer
    x = 834,590.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.