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Finding the Third Proportional to 249,178 and 373,690

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Solution

The third proportional to 249,178 and 373,690 is: 560,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,178 : 373,690 = 373,690 : x
  2. Step 2: Convert to fraction form
    249,178/373,690 = 373,690/x
  3. Step 3: Cross multiply
    249,178x = 373,690 × 373,690
  4. Step 4: Simplify right side
    249,178x = 139,644,216,100
  5. Step 5: Solve for x
    x = 139,644,216,100/249,178
  6. Step 6: Final answer
    x = 560,419.52

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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.