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Finding the Third Proportional to 172,700.50 and 266,434

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Solution

The third proportional to 172,700.50 and 266,434 is: 411,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,700.50 : 266,434 = 266,434 : x
  2. Step 2: Convert to fraction form
    172,700.50/266,434 = 266,434/x
  3. Step 3: Cross multiply
    172,700.50x = 266,434 × 266,434
  4. Step 4: Simplify right side
    172,700.50x = 70,987,076,356
  5. Step 5: Solve for x
    x = 70,987,076,356/172,700.50
  6. Step 6: Final answer
    x = 411,041.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.