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Finding the Third Proportional to 154,830.63 and 234,386.76

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Solution

The third proportional to 154,830.63 and 234,386.76 is: 354,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830.63 : 234,386.76 = 234,386.76 : x
  2. Step 2: Convert to fraction form
    154,830.63/234,386.76 = 234,386.76/x
  3. Step 3: Cross multiply
    154,830.63x = 234,386.76 × 234,386.76
  4. Step 4: Simplify right side
    154,830.63x = 54,937,152,981.77
  5. Step 5: Solve for x
    x = 54,937,152,981.77/154,830.63
  6. Step 6: Final answer
    x = 354,820.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.