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Finding the Third Proportional to 176,421 and 266,272.50

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Solution

The third proportional to 176,421 and 266,272.50 is: 401,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,421 : 266,272.50 = 266,272.50 : x
  2. Step 2: Convert to fraction form
    176,421/266,272.50 = 266,272.50/x
  3. Step 3: Cross multiply
    176,421x = 266,272.50 × 266,272.50
  4. Step 4: Simplify right side
    176,421x = 70,901,044,256.25
  5. Step 5: Solve for x
    x = 70,901,044,256.25/176,421
  6. Step 6: Final answer
    x = 401,885.51

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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.