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Finding the Third Proportional to 236,352 and 375,840

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Solution

The third proportional to 236,352 and 375,840 is: 597,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,352 : 375,840 = 375,840 : x
  2. Step 2: Convert to fraction form
    236,352/375,840 = 375,840/x
  3. Step 3: Cross multiply
    236,352x = 375,840 × 375,840
  4. Step 4: Simplify right side
    236,352x = 141,255,705,600
  5. Step 5: Solve for x
    x = 141,255,705,600/236,352
  6. Step 6: Final answer
    x = 597,649.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.