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Finding the Third Proportional to 163,005 and 249,351

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Solution

The third proportional to 163,005 and 249,351 is: 381,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,005 : 249,351 = 249,351 : x
  2. Step 2: Convert to fraction form
    163,005/249,351 = 249,351/x
  3. Step 3: Cross multiply
    163,005x = 249,351 × 249,351
  4. Step 4: Simplify right side
    163,005x = 62,175,921,201
  5. Step 5: Solve for x
    x = 62,175,921,201/163,005
  6. Step 6: Final answer
    x = 381,435.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.