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Finding the Third Proportional to 183,413 and 432,276.50

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Solution

The third proportional to 183,413 and 432,276.50 is: 1,018,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,413 : 432,276.50 = 432,276.50 : x
  2. Step 2: Convert to fraction form
    183,413/432,276.50 = 432,276.50/x
  3. Step 3: Cross multiply
    183,413x = 432,276.50 × 432,276.50
  4. Step 4: Simplify right side
    183,413x = 186,862,972,452.25
  5. Step 5: Solve for x
    x = 186,862,972,452.25/183,413
  6. Step 6: Final answer
    x = 1,018,809.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.