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Finding the Third Proportional to 145,419 and 307,604.50

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Solution

The third proportional to 145,419 and 307,604.50 is: 650,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419 : 307,604.50 = 307,604.50 : x
  2. Step 2: Convert to fraction form
    145,419/307,604.50 = 307,604.50/x
  3. Step 3: Cross multiply
    145,419x = 307,604.50 × 307,604.50
  4. Step 4: Simplify right side
    145,419x = 94,620,528,420.25
  5. Step 5: Solve for x
    x = 94,620,528,420.25/145,419
  6. Step 6: Final answer
    x = 650,675.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.