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Finding the Third Proportional to 186,688.50 and 283,495.50

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Solution

The third proportional to 186,688.50 and 283,495.50 is: 430,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,688.50 : 283,495.50 = 283,495.50 : x
  2. Step 2: Convert to fraction form
    186,688.50/283,495.50 = 283,495.50/x
  3. Step 3: Cross multiply
    186,688.50x = 283,495.50 × 283,495.50
  4. Step 4: Simplify right side
    186,688.50x = 80,369,698,520.25
  5. Step 5: Solve for x
    x = 80,369,698,520.25/186,688.50
  6. Step 6: Final answer
    x = 430,501.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.