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Finding the Third Proportional to 155,492.44 and 238,152.94

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Solution

The third proportional to 155,492.44 and 238,152.94 is: 364,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,492.44 : 238,152.94 = 238,152.94 : x
  2. Step 2: Convert to fraction form
    155,492.44/238,152.94 = 238,152.94/x
  3. Step 3: Cross multiply
    155,492.44x = 238,152.94 × 238,152.94
  4. Step 4: Simplify right side
    155,492.44x = 56,716,821,639.88
  5. Step 5: Solve for x
    x = 56,716,821,639.88/155,492.44
  6. Step 6: Final answer
    x = 364,756.14

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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.