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Finding the Third Proportional to 242,349.47 and 370,085.20

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Solution

The third proportional to 242,349.47 and 370,085.20 is: 565,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,349.47 : 370,085.20 = 370,085.20 : x
  2. Step 2: Convert to fraction form
    242,349.47/370,085.20 = 370,085.20/x
  3. Step 3: Cross multiply
    242,349.47x = 370,085.20 × 370,085.20
  4. Step 4: Simplify right side
    242,349.47x = 136,963,057,572.07
  5. Step 5: Solve for x
    x = 136,963,057,572.07/242,349.47
  6. Step 6: Final answer
    x = 565,146.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.