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Finding the Third Proportional to 166,528 and 253,963.50

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Solution

The third proportional to 166,528 and 253,963.50 is: 387,307.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,528 : 253,963.50 = 253,963.50 : x
  2. Step 2: Convert to fraction form
    166,528/253,963.50 = 253,963.50/x
  3. Step 3: Cross multiply
    166,528x = 253,963.50 × 253,963.50
  4. Step 4: Simplify right side
    166,528x = 64,497,459,332.25
  5. Step 5: Solve for x
    x = 64,497,459,332.25/166,528
  6. Step 6: Final answer
    x = 387,307.00

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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.