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Finding the Third Proportional to 155,200 and 237,312

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Solution

The third proportional to 155,200 and 237,312 is: 362,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,200 : 237,312 = 237,312 : x
  2. Step 2: Convert to fraction form
    155,200/237,312 = 237,312/x
  3. Step 3: Cross multiply
    155,200x = 237,312 × 237,312
  4. Step 4: Simplify right side
    155,200x = 56,316,985,344
  5. Step 5: Solve for x
    x = 56,316,985,344/155,200
  6. Step 6: Final answer
    x = 362,867.17

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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.