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Finding the Third Proportional to 139,459.50 and 305,541

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Solution

The third proportional to 139,459.50 and 305,541 is: 669,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,459.50 : 305,541 = 305,541 : x
  2. Step 2: Convert to fraction form
    139,459.50/305,541 = 305,541/x
  3. Step 3: Cross multiply
    139,459.50x = 305,541 × 305,541
  4. Step 4: Simplify right side
    139,459.50x = 93,355,302,681
  5. Step 5: Solve for x
    x = 93,355,302,681/139,459.50
  6. Step 6: Final answer
    x = 669,407.98

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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.