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Finding the Third Proportional to 180,290.81 and 385,595.44

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Solution

The third proportional to 180,290.81 and 385,595.44 is: 824,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,290.81 : 385,595.44 = 385,595.44 : x
  2. Step 2: Convert to fraction form
    180,290.81/385,595.44 = 385,595.44/x
  3. Step 3: Cross multiply
    180,290.81x = 385,595.44 × 385,595.44
  4. Step 4: Simplify right side
    180,290.81x = 148,683,841,420.82
  5. Step 5: Solve for x
    x = 148,683,841,420.82/180,290.81
  6. Step 6: Final answer
    x = 824,688.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.