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Finding the Third Proportional to 236,730 and 357,549

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Solution

The third proportional to 236,730 and 357,549 is: 540,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,730 : 357,549 = 357,549 : x
  2. Step 2: Convert to fraction form
    236,730/357,549 = 357,549/x
  3. Step 3: Cross multiply
    236,730x = 357,549 × 357,549
  4. Step 4: Simplify right side
    236,730x = 127,841,287,401
  5. Step 5: Solve for x
    x = 127,841,287,401/236,730
  6. Step 6: Final answer
    x = 540,029.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.