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Finding the Third Proportional to 245,856 and 375,348

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Solution

The third proportional to 245,856 and 375,348 is: 573,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,856 : 375,348 = 375,348 : x
  2. Step 2: Convert to fraction form
    245,856/375,348 = 375,348/x
  3. Step 3: Cross multiply
    245,856x = 375,348 × 375,348
  4. Step 4: Simplify right side
    245,856x = 140,886,121,104
  5. Step 5: Solve for x
    x = 140,886,121,104/245,856
  6. Step 6: Final answer
    x = 573,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.