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Finding the Third Proportional to 176,890.50 and 249,495

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Solution

The third proportional to 176,890.50 and 249,495 is: 351,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,890.50 : 249,495 = 249,495 : x
  2. Step 2: Convert to fraction form
    176,890.50/249,495 = 249,495/x
  3. Step 3: Cross multiply
    176,890.50x = 249,495 × 249,495
  4. Step 4: Simplify right side
    176,890.50x = 62,247,755,025
  5. Step 5: Solve for x
    x = 62,247,755,025/176,890.50
  6. Step 6: Final answer
    x = 351,899.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.