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Finding the Third Proportional to 163,263 and 249,727.50

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Solution

The third proportional to 163,263 and 249,727.50 is: 381,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,263 : 249,727.50 = 249,727.50 : x
  2. Step 2: Convert to fraction form
    163,263/249,727.50 = 249,727.50/x
  3. Step 3: Cross multiply
    163,263x = 249,727.50 × 249,727.50
  4. Step 4: Simplify right side
    163,263x = 62,363,824,256.25
  5. Step 5: Solve for x
    x = 62,363,824,256.25/163,263
  6. Step 6: Final answer
    x = 381,983.82

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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.