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Finding the Third Proportional to 224,315.58 and 344,788.52

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Solution

The third proportional to 224,315.58 and 344,788.52 is: 529,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,315.58 : 344,788.52 = 344,788.52 : x
  2. Step 2: Convert to fraction form
    224,315.58/344,788.52 = 344,788.52/x
  3. Step 3: Cross multiply
    224,315.58x = 344,788.52 × 344,788.52
  4. Step 4: Simplify right side
    224,315.58x = 118,879,125,894.21
  5. Step 5: Solve for x
    x = 118,879,125,894.21/224,315.58
  6. Step 6: Final answer
    x = 529,963.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.