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Finding the Third Proportional to 153,457.13 and 333,477.19

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Solution

The third proportional to 153,457.13 and 333,477.19 is: 724,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,457.13 : 333,477.19 = 333,477.19 : x
  2. Step 2: Convert to fraction form
    153,457.13/333,477.19 = 333,477.19/x
  3. Step 3: Cross multiply
    153,457.13x = 333,477.19 × 333,477.19
  4. Step 4: Simplify right side
    153,457.13x = 111,207,034,582.91
  5. Step 5: Solve for x
    x = 111,207,034,582.91/153,457.13
  6. Step 6: Final answer
    x = 724,678.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.