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Finding the Third Proportional to 157,034.50 and 236,416

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Solution

The third proportional to 157,034.50 and 236,416 is: 355,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,034.50 : 236,416 = 236,416 : x
  2. Step 2: Convert to fraction form
    157,034.50/236,416 = 236,416/x
  3. Step 3: Cross multiply
    157,034.50x = 236,416 × 236,416
  4. Step 4: Simplify right side
    157,034.50x = 55,892,525,056
  5. Step 5: Solve for x
    x = 55,892,525,056/157,034.50
  6. Step 6: Final answer
    x = 355,925.13

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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.