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Finding the Third Proportional to 176,341.50 and 385,488

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Solution

The third proportional to 176,341.50 and 385,488 is: 842,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,341.50 : 385,488 = 385,488 : x
  2. Step 2: Convert to fraction form
    176,341.50/385,488 = 385,488/x
  3. Step 3: Cross multiply
    176,341.50x = 385,488 × 385,488
  4. Step 4: Simplify right side
    176,341.50x = 148,600,998,144
  5. Step 5: Solve for x
    x = 148,600,998,144/176,341.50
  6. Step 6: Final answer
    x = 842,688.75

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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.