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Finding the Third Proportional to 249,877.75 and 365,445

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Solution

The third proportional to 249,877.75 and 365,445 is: 534,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,877.75 : 365,445 = 365,445 : x
  2. Step 2: Convert to fraction form
    249,877.75/365,445 = 365,445/x
  3. Step 3: Cross multiply
    249,877.75x = 365,445 × 365,445
  4. Step 4: Simplify right side
    249,877.75x = 133,550,048,025
  5. Step 5: Solve for x
    x = 133,550,048,025/249,877.75
  6. Step 6: Final answer
    x = 534,461.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.