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Finding the Third Proportional to 157,362 and 249,558

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Solution

The third proportional to 157,362 and 249,558 is: 395,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,362 : 249,558 = 249,558 : x
  2. Step 2: Convert to fraction form
    157,362/249,558 = 249,558/x
  3. Step 3: Cross multiply
    157,362x = 249,558 × 249,558
  4. Step 4: Simplify right side
    157,362x = 62,279,195,364
  5. Step 5: Solve for x
    x = 62,279,195,364/157,362
  6. Step 6: Final answer
    x = 395,770.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.