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Finding the Third Proportional to 145,098 and 307,813.50

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Solution

The third proportional to 145,098 and 307,813.50 is: 653,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098 : 307,813.50 = 307,813.50 : x
  2. Step 2: Convert to fraction form
    145,098/307,813.50 = 307,813.50/x
  3. Step 3: Cross multiply
    145,098x = 307,813.50 × 307,813.50
  4. Step 4: Simplify right side
    145,098x = 94,749,150,782.25
  5. Step 5: Solve for x
    x = 94,749,150,782.25/145,098
  6. Step 6: Final answer
    x = 653,001.08

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