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Finding the Third Proportional to 176,386.50 and 264,977.16

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Solution

The third proportional to 176,386.50 and 264,977.16 is: 398,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,386.50 : 264,977.16 = 264,977.16 : x
  2. Step 2: Convert to fraction form
    176,386.50/264,977.16 = 264,977.16/x
  3. Step 3: Cross multiply
    176,386.50x = 264,977.16 × 264,977.16
  4. Step 4: Simplify right side
    176,386.50x = 70,212,893,334.34
  5. Step 5: Solve for x
    x = 70,212,893,334.34/176,386.50
  6. Step 6: Final answer
    x = 398,062.74

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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.