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Finding the Third Proportional to 176,090 and 264,159

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Solution

The third proportional to 176,090 and 264,159 is: 396,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,090 : 264,159 = 264,159 : x
  2. Step 2: Convert to fraction form
    176,090/264,159 = 264,159/x
  3. Step 3: Cross multiply
    176,090x = 264,159 × 264,159
  4. Step 4: Simplify right side
    176,090x = 69,779,977,281
  5. Step 5: Solve for x
    x = 69,779,977,281/176,090
  6. Step 6: Final answer
    x = 396,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.