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Finding the Third Proportional to 160,623.63 and 357,150.38

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Solution

The third proportional to 160,623.63 and 357,150.38 is: 794,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,623.63 : 357,150.38 = 357,150.38 : x
  2. Step 2: Convert to fraction form
    160,623.63/357,150.38 = 357,150.38/x
  3. Step 3: Cross multiply
    160,623.63x = 357,150.38 × 357,150.38
  4. Step 4: Simplify right side
    160,623.63x = 127,556,390,362.64
  5. Step 5: Solve for x
    x = 127,556,390,362.64/160,623.63
  6. Step 6: Final answer
    x = 794,132.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.