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Finding the Third Proportional to 249,036 and 373,809

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Solution

The third proportional to 249,036 and 373,809 is: 561,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,036 : 373,809 = 373,809 : x
  2. Step 2: Convert to fraction form
    249,036/373,809 = 373,809/x
  3. Step 3: Cross multiply
    249,036x = 373,809 × 373,809
  4. Step 4: Simplify right side
    249,036x = 139,733,168,481
  5. Step 5: Solve for x
    x = 139,733,168,481/249,036
  6. Step 6: Final answer
    x = 561,096.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.