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Finding the Third Proportional to 176,175 and 272,038.50

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Solution

The third proportional to 176,175 and 272,038.50 is: 420,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,175 : 272,038.50 = 272,038.50 : x
  2. Step 2: Convert to fraction form
    176,175/272,038.50 = 272,038.50/x
  3. Step 3: Cross multiply
    176,175x = 272,038.50 × 272,038.50
  4. Step 4: Simplify right side
    176,175x = 74,004,945,482.25
  5. Step 5: Solve for x
    x = 74,004,945,482.25/176,175
  6. Step 6: Final answer
    x = 420,064.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.