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Finding the Third Proportional to 157,986 and 346,585

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Solution

The third proportional to 157,986 and 346,585 is: 760,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,986 : 346,585 = 346,585 : x
  2. Step 2: Convert to fraction form
    157,986/346,585 = 346,585/x
  3. Step 3: Cross multiply
    157,986x = 346,585 × 346,585
  4. Step 4: Simplify right side
    157,986x = 120,121,162,225
  5. Step 5: Solve for x
    x = 120,121,162,225/157,986
  6. Step 6: Final answer
    x = 760,327.89

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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.