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Finding the Third Proportional to 249,564.38 and 374,225.06

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Solution

The third proportional to 249,564.38 and 374,225.06 is: 561,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564.38 : 374,225.06 = 374,225.06 : x
  2. Step 2: Convert to fraction form
    249,564.38/374,225.06 = 374,225.06/x
  3. Step 3: Cross multiply
    249,564.38x = 374,225.06 × 374,225.06
  4. Step 4: Simplify right side
    249,564.38x = 140,044,397,403.13
  5. Step 5: Solve for x
    x = 140,044,397,403.13/249,564.38
  6. Step 6: Final answer
    x = 561,155.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.