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Finding the Third Proportional to 249,585 and 374,254

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Solution

The third proportional to 249,585 and 374,254 is: 561,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,585 : 374,254 = 374,254 : x
  2. Step 2: Convert to fraction form
    249,585/374,254 = 374,254/x
  3. Step 3: Cross multiply
    249,585x = 374,254 × 374,254
  4. Step 4: Simplify right side
    249,585x = 140,066,056,516
  5. Step 5: Solve for x
    x = 140,066,056,516/249,585
  6. Step 6: Final answer
    x = 561,195.81

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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.