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Finding the Third Proportional to 176,567.63 and 377,374.50

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Solution

The third proportional to 176,567.63 and 377,374.50 is: 806,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,567.63 : 377,374.50 = 377,374.50 : x
  2. Step 2: Convert to fraction form
    176,567.63/377,374.50 = 377,374.50/x
  3. Step 3: Cross multiply
    176,567.63x = 377,374.50 × 377,374.50
  4. Step 4: Simplify right side
    176,567.63x = 142,411,513,250.25
  5. Step 5: Solve for x
    x = 142,411,513,250.25/176,567.63
  6. Step 6: Final answer
    x = 806,555.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.