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Finding the Third Proportional to 176,580 and 382,495.50

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Solution

The third proportional to 176,580 and 382,495.50 is: 828,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,580 : 382,495.50 = 382,495.50 : x
  2. Step 2: Convert to fraction form
    176,580/382,495.50 = 382,495.50/x
  3. Step 3: Cross multiply
    176,580x = 382,495.50 × 382,495.50
  4. Step 4: Simplify right side
    176,580x = 146,302,807,520.25
  5. Step 5: Solve for x
    x = 146,302,807,520.25/176,580
  6. Step 6: Final answer
    x = 828,535.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.