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Finding the Third Proportional to 249,903 and 356,157

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Solution

The third proportional to 249,903 and 356,157 is: 507,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,903 : 356,157 = 356,157 : x
  2. Step 2: Convert to fraction form
    249,903/356,157 = 356,157/x
  3. Step 3: Cross multiply
    249,903x = 356,157 × 356,157
  4. Step 4: Simplify right side
    249,903x = 126,847,808,649
  5. Step 5: Solve for x
    x = 126,847,808,649/249,903
  6. Step 6: Final answer
    x = 507,588.18

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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.