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Finding the Third Proportional to 184,365 and 249,091.50

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Solution

The third proportional to 184,365 and 249,091.50 is: 336,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,365 : 249,091.50 = 249,091.50 : x
  2. Step 2: Convert to fraction form
    184,365/249,091.50 = 249,091.50/x
  3. Step 3: Cross multiply
    184,365x = 249,091.50 × 249,091.50
  4. Step 4: Simplify right side
    184,365x = 62,046,575,372.25
  5. Step 5: Solve for x
    x = 62,046,575,372.25/184,365
  6. Step 6: Final answer
    x = 336,542.05

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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.