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Finding the Third Proportional to 249,808 and 365,924

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Solution

The third proportional to 249,808 and 365,924 is: 536,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,808 : 365,924 = 365,924 : x
  2. Step 2: Convert to fraction form
    249,808/365,924 = 365,924/x
  3. Step 3: Cross multiply
    249,808x = 365,924 × 365,924
  4. Step 4: Simplify right side
    249,808x = 133,900,373,776
  5. Step 5: Solve for x
    x = 133,900,373,776/249,808
  6. Step 6: Final answer
    x = 536,013.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.