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Finding the Third Proportional to 176,886 and 249,487.50

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Solution

The third proportional to 176,886 and 249,487.50 is: 351,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,886 : 249,487.50 = 249,487.50 : x
  2. Step 2: Convert to fraction form
    176,886/249,487.50 = 249,487.50/x
  3. Step 3: Cross multiply
    176,886x = 249,487.50 × 249,487.50
  4. Step 4: Simplify right side
    176,886x = 62,244,012,656.25
  5. Step 5: Solve for x
    x = 62,244,012,656.25/176,886
  6. Step 6: Final answer
    x = 351,887.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.