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Finding the Third Proportional to 184,346 and 249,064

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Solution

The third proportional to 184,346 and 249,064 is: 336,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,346 : 249,064 = 249,064 : x
  2. Step 2: Convert to fraction form
    184,346/249,064 = 249,064/x
  3. Step 3: Cross multiply
    184,346x = 249,064 × 249,064
  4. Step 4: Simplify right side
    184,346x = 62,032,876,096
  5. Step 5: Solve for x
    x = 62,032,876,096/184,346
  6. Step 6: Final answer
    x = 336,502.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.