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Finding the Third Proportional to 236,440 and 361,730

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Solution

The third proportional to 236,440 and 361,730 is: 553,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,440 : 361,730 = 361,730 : x
  2. Step 2: Convert to fraction form
    236,440/361,730 = 361,730/x
  3. Step 3: Cross multiply
    236,440x = 361,730 × 361,730
  4. Step 4: Simplify right side
    236,440x = 130,848,592,900
  5. Step 5: Solve for x
    x = 130,848,592,900/236,440
  6. Step 6: Final answer
    x = 553,411.41

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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.