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Finding the Third Proportional to 163,478 and 249,969

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Solution

The third proportional to 163,478 and 249,969 is: 382,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,478 : 249,969 = 249,969 : x
  2. Step 2: Convert to fraction form
    163,478/249,969 = 249,969/x
  3. Step 3: Cross multiply
    163,478x = 249,969 × 249,969
  4. Step 4: Simplify right side
    163,478x = 62,484,500,961
  5. Step 5: Solve for x
    x = 62,484,500,961/163,478
  6. Step 6: Final answer
    x = 382,219.63

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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.