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Finding the Third Proportional to 249,520.50 and 383,535

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Solution

The third proportional to 249,520.50 and 383,535 is: 589,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,520.50 : 383,535 = 383,535 : x
  2. Step 2: Convert to fraction form
    249,520.50/383,535 = 383,535/x
  3. Step 3: Cross multiply
    249,520.50x = 383,535 × 383,535
  4. Step 4: Simplify right side
    249,520.50x = 147,099,096,225
  5. Step 5: Solve for x
    x = 147,099,096,225/249,520.50
  6. Step 6: Final answer
    x = 589,527.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.