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Finding the Third Proportional to 176,535 and 386,080.50

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Solution

The third proportional to 176,535 and 386,080.50 is: 844,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,535 : 386,080.50 = 386,080.50 : x
  2. Step 2: Convert to fraction form
    176,535/386,080.50 = 386,080.50/x
  3. Step 3: Cross multiply
    176,535x = 386,080.50 × 386,080.50
  4. Step 4: Simplify right side
    176,535x = 149,058,152,480.25
  5. Step 5: Solve for x
    x = 149,058,152,480.25/176,535
  6. Step 6: Final answer
    x = 844,354.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.