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Finding the Third Proportional to 249,908 and 356,164

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Solution

The third proportional to 249,908 and 356,164 is: 507,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,908 : 356,164 = 356,164 : x
  2. Step 2: Convert to fraction form
    249,908/356,164 = 356,164/x
  3. Step 3: Cross multiply
    249,908x = 356,164 × 356,164
  4. Step 4: Simplify right side
    249,908x = 126,852,794,896
  5. Step 5: Solve for x
    x = 126,852,794,896/249,908
  6. Step 6: Final answer
    x = 507,597.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.