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Finding the Third Proportional to 145,008 and 319,411.50

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Solution

The third proportional to 145,008 and 319,411.50 is: 703,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,008 : 319,411.50 = 319,411.50 : x
  2. Step 2: Convert to fraction form
    145,008/319,411.50 = 319,411.50/x
  3. Step 3: Cross multiply
    145,008x = 319,411.50 × 319,411.50
  4. Step 4: Simplify right side
    145,008x = 102,023,706,332.25
  5. Step 5: Solve for x
    x = 102,023,706,332.25/145,008
  6. Step 6: Final answer
    x = 703,572.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.