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Finding the Third Proportional to 242,501.63 and 367,106.63

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Solution

The third proportional to 242,501.63 and 367,106.63 is: 555,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,501.63 : 367,106.63 = 367,106.63 : x
  2. Step 2: Convert to fraction form
    242,501.63/367,106.63 = 367,106.63/x
  3. Step 3: Cross multiply
    242,501.63x = 367,106.63 × 367,106.63
  4. Step 4: Simplify right side
    242,501.63x = 134,767,274,118.89
  5. Step 5: Solve for x
    x = 134,767,274,118.89/242,501.63
  6. Step 6: Final answer
    x = 555,737.61

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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.