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Finding the Third Proportional to 176,508 and 266,421.50

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Solution

The third proportional to 176,508 and 266,421.50 is: 402,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,508 : 266,421.50 = 266,421.50 : x
  2. Step 2: Convert to fraction form
    176,508/266,421.50 = 266,421.50/x
  3. Step 3: Cross multiply
    176,508x = 266,421.50 × 266,421.50
  4. Step 4: Simplify right side
    176,508x = 70,980,415,662.25
  5. Step 5: Solve for x
    x = 70,980,415,662.25/176,508
  6. Step 6: Final answer
    x = 402,137.10

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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.