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Finding the Third Proportional to 176,656.50 and 386,316

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Solution

The third proportional to 176,656.50 and 386,316 is: 844,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,656.50 : 386,316 = 386,316 : x
  2. Step 2: Convert to fraction form
    176,656.50/386,316 = 386,316/x
  3. Step 3: Cross multiply
    176,656.50x = 386,316 × 386,316
  4. Step 4: Simplify right side
    176,656.50x = 149,240,051,856
  5. Step 5: Solve for x
    x = 149,240,051,856/176,656.50
  6. Step 6: Final answer
    x = 844,803.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.