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Finding the Third Proportional to 235,045 and 358,079

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Solution

The third proportional to 235,045 and 358,079 is: 545,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,045 : 358,079 = 358,079 : x
  2. Step 2: Convert to fraction form
    235,045/358,079 = 358,079/x
  3. Step 3: Cross multiply
    235,045x = 358,079 × 358,079
  4. Step 4: Simplify right side
    235,045x = 128,220,570,241
  5. Step 5: Solve for x
    x = 128,220,570,241/235,045
  6. Step 6: Final answer
    x = 545,514.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.