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Finding the Third Proportional to 176,531 and 261,366.50

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Solution

The third proportional to 176,531 and 261,366.50 is: 386,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,531 : 261,366.50 = 261,366.50 : x
  2. Step 2: Convert to fraction form
    176,531/261,366.50 = 261,366.50/x
  3. Step 3: Cross multiply
    176,531x = 261,366.50 × 261,366.50
  4. Step 4: Simplify right side
    176,531x = 68,312,447,322.25
  5. Step 5: Solve for x
    x = 68,312,447,322.25/176,531
  6. Step 6: Final answer
    x = 386,971.39

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.