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Finding the Third Proportional to 149,283 and 312,403.50

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Solution

The third proportional to 149,283 and 312,403.50 is: 653,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,283 : 312,403.50 = 312,403.50 : x
  2. Step 2: Convert to fraction form
    149,283/312,403.50 = 312,403.50/x
  3. Step 3: Cross multiply
    149,283x = 312,403.50 × 312,403.50
  4. Step 4: Simplify right side
    149,283x = 97,595,946,812.25
  5. Step 5: Solve for x
    x = 97,595,946,812.25/149,283
  6. Step 6: Final answer
    x = 653,764.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.