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Finding the Third Proportional to 163,122 and 249,558

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Solution

The third proportional to 163,122 and 249,558 is: 381,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,122 : 249,558 = 249,558 : x
  2. Step 2: Convert to fraction form
    163,122/249,558 = 249,558/x
  3. Step 3: Cross multiply
    163,122x = 249,558 × 249,558
  4. Step 4: Simplify right side
    163,122x = 62,279,195,364
  5. Step 5: Solve for x
    x = 62,279,195,364/163,122
  6. Step 6: Final answer
    x = 381,795.19

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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.