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Finding the Third Proportional to 176,985 and 385,069.50

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Solution

The third proportional to 176,985 and 385,069.50 is: 837,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,985 : 385,069.50 = 385,069.50 : x
  2. Step 2: Convert to fraction form
    176,985/385,069.50 = 385,069.50/x
  3. Step 3: Cross multiply
    176,985x = 385,069.50 × 385,069.50
  4. Step 4: Simplify right side
    176,985x = 148,278,519,830.25
  5. Step 5: Solve for x
    x = 148,278,519,830.25/176,985
  6. Step 6: Final answer
    x = 837,802.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.