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Finding the Third Proportional to 163,472 and 249,960

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Solution

The third proportional to 163,472 and 249,960 is: 382,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,472 : 249,960 = 249,960 : x
  2. Step 2: Convert to fraction form
    163,472/249,960 = 249,960/x
  3. Step 3: Cross multiply
    163,472x = 249,960 × 249,960
  4. Step 4: Simplify right side
    163,472x = 62,480,001,600
  5. Step 5: Solve for x
    x = 62,480,001,600/163,472
  6. Step 6: Final answer
    x = 382,206.14

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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.