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Finding the Third Proportional to 176,070 and 250,874.50

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Solution

The third proportional to 176,070 and 250,874.50 is: 357,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,070 : 250,874.50 = 250,874.50 : x
  2. Step 2: Convert to fraction form
    176,070/250,874.50 = 250,874.50/x
  3. Step 3: Cross multiply
    176,070x = 250,874.50 × 250,874.50
  4. Step 4: Simplify right side
    176,070x = 62,938,014,750.25
  5. Step 5: Solve for x
    x = 62,938,014,750.25/176,070
  6. Step 6: Final answer
    x = 357,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.