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Finding the Third Proportional to 131,415 and 201,064.50

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Solution

The third proportional to 131,415 and 201,064.50 is: 307,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415 : 201,064.50 = 201,064.50 : x
  2. Step 2: Convert to fraction form
    131,415/201,064.50 = 201,064.50/x
  3. Step 3: Cross multiply
    131,415x = 201,064.50 × 201,064.50
  4. Step 4: Simplify right side
    131,415x = 40,426,933,160.25
  5. Step 5: Solve for x
    x = 40,426,933,160.25/131,415
  6. Step 6: Final answer
    x = 307,628.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.