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Finding the Third Proportional to 145,695 and 317,026.50

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Solution

The third proportional to 145,695 and 317,026.50 is: 689,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,695 : 317,026.50 = 317,026.50 : x
  2. Step 2: Convert to fraction form
    145,695/317,026.50 = 317,026.50/x
  3. Step 3: Cross multiply
    145,695x = 317,026.50 × 317,026.50
  4. Step 4: Simplify right side
    145,695x = 100,505,801,702.25
  5. Step 5: Solve for x
    x = 100,505,801,702.25/145,695
  6. Step 6: Final answer
    x = 689,837.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.